Numbers 4400-4499

A page of the Numeropedia - the Special Encyclopedia of Numbers

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4,400

[Math.]

401/2 = 6.32…

44001/2 = 66.332…

4440001/2 = 666.3332…

444400001/2 = 6666.33332…

44444000001/2 = 66666.333332…

4444440000001/2 = 666666.3333332…

[Movie]  Name of TV show/series or movie: “The 4400”.

4,409

[Math.]  The 600th prime number.

4,411

Sport]  One of soccer’s possible lineup tactics formations: 4-4-2 (4 defenders, 4 midfielders and 2 forwards). A slightly modified defenders line makes: 1-3-4-2 (1 sweeper), or 3-1-4-2 (1 stopper). A slightly modified forwards line makes: 4-4-1-1 (1 striker).

4,416

[Math.]

23×64 = 1,472 = 32×46

23×96 = 2,208 = 32×69

64×69 = 4,416 = 96×46.

4,421

[Math.]  A prime number. An alternating sum/subtraction of factorials:

4421 = 7!–6!+5!–4!+3!–2!+1!.

4,422 & 4488

[Math.]

 66×64 = 4224 66×67 = 4422 66×68 = 4488 66×69 = 4554 66×74 = 4884

 666×661 = 440,226 666×666 = 443,556 666×669 = 445,554 666×672 = 447,552 666×663 = 441,558 666×667 = 444,222 666×670 = 446,220 666×674 = 448,884 666×664 = 442,224 666×668 = 444,888 666×671 = 446,886 666×675 = 449,550

… (generalizable pattern) …

4,423

[Math.]  A prime number.

A Mersenne exponent: 24423–1 is the 20th Mersenne prime number.

4,431

[Math.]  5,955,264 = 4431×1344 = 2532×2352.

4,444

[Math.]

121×(1+2+1) = 484 = 222

12,321×(1+2+3+2+1) = 110,889 = 3332

12,34,321×(1+2+3+4+3+2+1) = 19,749,136 = 4,4442

123,454,321×(1+2+3+4+5+4+3+2+1) = 3,086,358,025 = 55,5552

12,345,654,321×(1+2+3+4+5+6+5+4+3+2+1) = 444,443,555,556 = 666,6662

1,234,567,654,321×(1+2+3+4+5+6+7+6+5+4+3+2+1) =

= 60,493,815,061,729 = 7,777,7772

123,456,787,654,321×(1+2+3+4+5+6+7+8+7+6+5+4+3+2+1) =

= 7,901,234,409,876,544 = 88,888,8882

12,345,678,987,654,321×

×(1+2+3+4+5+6+7+8+9 +8+7+6+5+4+3+2+1) =

= 999,999,998,000,000,001 = 999,999,9992.

[Phone]  The number to key in text messaging on telephone keypad for number 4.

[Zip]  U.S. Postal Zip Code: Hampden, Maine 04444.

4,445

[Math.]  44453 = 87,824,421,125 = (878+2442+1125)3.

4,447

[Math.]  A prime number.

4,465

[Math.]  A triangular number (sum of all integers from 1 to 94):

4465 = 1+2+…+93+94.

4,473

[Math.]  16,746,912 = 2556´6552 = 4473´3744.

4,483

[Math.]  A prime number

Repeatedly inserting numer 48 into the middle of number 43 gives a sequences of prime number: 43, 4483, 444,883, 44,448,883 and 4,444,488,883.

4,486

[Gov.]  All government-issued credit cards start with either 5568 (MasterCard) or 4486 & 4716 (Visa).

4,488

[Math.]  Two consecutive sums of consecutive numbers: 256+257+…+262 = 263+264+…+288 = 4488.

[Math.]  (see above 4422 & 4488)

 66×64 = 4224 66×67 = 4422 66×68 = 4488 66×69 = 4554 66×74 = 4884

… (generalizable pattern) …

4,489

[Math.]  Repeatedly inserting numbers 48 in the middle of the square number 49 yields other squares 4489 = 672, 444889 = 6672, 44448889 = 66672

4,494

[Math.]  22,218,336 = 4494×4944 = 2568×8652.