Monday, November 13, 2017

Number of the day: 6674

Properties of the number 6674:

6674 = 2 × 47 × 71 is a sphenic number and squarefree.
6674 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 3220 totatives.
6674 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 6674 results in a semiprime.
6674 is the difference of 2 positive pentagonal numbers in 1 way.
6674 = 72 + 82 + 812 is the sum of 3 positive squares.
66742 is the sum of 3 positive squares.
6674 is a proper divisor of 2832 - 1.
6674 = '6' + '674' is the concatenation of 2 semiprime numbers.
6674 is palindromic in (at least) the following bases: 48, 93, -39, and -46.
6674 in base 36 = 55e and consists of only the digits '5' and 'e'.
6674 in base 48 = 2h2 and consists of only the digits '2' and 'h'.

The number 6674 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A137094: Numbers n such that n and the square of n use only the digits 2, 4, 5, 6 and 7.
A137380: Number of primes between (Prime[n + 1])^Pi and (Prime[n])^Pi.
A138563: Beastly fax numbers: numbers containing the fax number of the Beast (667, one more than its regular number) in their decimal expansion.
A186668: Total number of n-digit numbers requiring 11 positive biquadrates in their representation as sum of biquadrates.
A208923: Triangle of coefficients of polynomials u(n,x) jointly generated with A208908; see the Formula section.
A229014: Number of arrays of median of three adjacent elements of some length 6 0..n array, with no adjacent equal elements in the latter.
A252213: Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7
A252216: Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7
A252219: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7
A260370: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111

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