## George Pólya was born on this day 129 years ago.

### Properties of the number 2534:

2534 = 2 × 7 × 181 is a sphenic number and squarefree.2534 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 1080 totatives.

2534 has a semiprime digit sum 14 in base 10.

2534 has a triangular digit product 120 in base 10.

2534 = 5

^{2}+ 22

^{2}+ 45

^{2}is the sum of 3 positive squares.

2534

^{2}= 266

^{2}+ 2520

^{2}is the sum of 2 positive squares in 1 way.

2534

^{2}is the sum of 3 positive squares.

2534 is a divisor of 953

^{3}- 1.

2534 = '25' + '34' is the concatenation of 2 semiprime numbers.

2534 is palindromic in (at least) the following bases: 19, 23, and -19.

2534 in base 13 = 11cc and consists of only the digits '1' and 'c'.

2534 in base 18 = 7ee and consists of only the digits '7' and 'e'.

2534 in base 19 = 707 and consists of only the digits '0' and '7'.

2534 in base 20 = 66e and consists of only the digits '6' and 'e'.

2534 in base 22 = 554 and consists of only the digits '4' and '5'.

2534 in base 23 = 4i4 and consists of only the digits '4' and 'i'.

2534 in base 35 = 22e and consists of only the digits '2' and 'e'.

### The number 2534 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A003349: Numbers that are the sum of 4 positive 5th powers.

A026816: Number of partitions of n in which the greatest part is 10.

A035515: Zeckendorf expansion of n: repeatedly subtract the largest Fibonacci number you can until nothing remains.

A051989: Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.

A060920: Bisection of Fibonacci triangle A037027: even indexed members of column sequences of A037027 (not counting leading zeros).

A082260: a(n) = n-th multiple of n with digit sum n.

A143702: a(n) = minimal values of A007947(m(2^n-m))

A238864: Number of partitions of n where the difference between consecutive parts is at most 4.

A251088: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements

A260927: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101

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