Number 67

A page of the Numeropedia - the Special Encyclopedia of Numbers

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[Chem.]  The atomic number of Holmium (Ho). An element in the Lanthanide series: Lanthanum (57) to Lutetium (71).

 

[Gov.]  The minimum number of votes required for a two-thirds majority in the U.S. Senate (of 100 senators).

 

[Gov.]  The retirement age in the U.S. for people born in 1960 or later. It used to be 65 years old.

 

[Math.]  One of only four 2-digit prime numbers whose digits are consecutive: 23, 43, 67 and 89.

 

[Math.]  674 = 20,151,121 = (20+15+11+21)4.

 

[Math.] 

336,700 = 333+673+003 and 336,701 = 333+673+013.

340,067 = 343+003+673 and 341,067 = 343+103+673.

 

[Math.]  13,467 = 1342–672 = (134+67)×67, where 134 = 67×2.

 

[Math.]  2×3×5×67×1489 = 2,992,890, the smallest such number, using each of 9 digits 1-9 once in its factorization.

 

[Math.]  14,368,485 = 3×5×17×29×29×67, using each of 9 digits 1-9 twice.

 

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

 

[Math.]  e^(p´671/2) = 147,197,952,743.999998662454… is a transcendental number (i.e., not a root of any polynomial equation with integer coefficients)very close to the integer 147,197,952,744.

 

[Math.]  The imaginary quadratic fields Q((–67)1/2) is one of only 9 UFDs (unique factorization domains) of form Q((–d)1/2), d = 1, 2, 3, 7, 11, 19, 43, 67 and 163.

 

[Phone]  International telephone dialing code for Saipan.

 

64, 66, 67, 68 & 69

[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) …