Properties of the Number 31514

Thirty-One Thousand Five Hundred Fourteen

Basics

Value: 31513 → 31514 → 31515

Parity: even

Prime: No

Previous Prime: 31513

Next Prime: 31517

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 2251

Divisors: 1, 2, 7, 14, 2251, 4502, 15757, 31514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101100011010

Octal: 75432

Duodecimal: 162A2

Hexadecimal: 7b1a

Square: 993132196

Square Root: 177.52182964356805

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252615

Sum of squares of tribonacci numbers (A000073). A107239

a(n) = floor(log₂(n)*2ⁿ/n). A65616

Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252613

Number of (2+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252617

Center antidiagonal four in a tri-antidiagonal n-th Matrix generated triangular sequence: first element as 4==m[1,1,1]. A124028

Array A(k, n) read by descending antidiagonals: A(k, n) = ∑_m=0..n F(k, m)², where F are the k-generalized Fibonacci numbers A092921. A343138

Number of (n+1)X5 binary arrays with each element of every 2X2 subblock being the sum mod 2 of two others. A183840

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101. A261112

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 16. A31514