Properties of the Number 31936

Thirty-One Thousand Nine Hundred Thirty-Six

Basics

Value: 31935 → 31936 → 31937

Parity: even

Prime: No

Previous Prime: 31907

Next Prime: 31957

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 499

Divisors: 1, 2, 4, 8, 16, 32, 64, 499, 998, 1996

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110011000000

Octal: 76300

Duodecimal: 16594

Hexadecimal: 7cc0

Square: 1019908096

Square Root: 178.7064632295094

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+1)X(k+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251268

Arises in enumerating Huffman codes, compact trees, and sums of unit fractions. A194630

a(n) = 2·n*(16·n - 13). A263228

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(k*((1+x)^k - 1)). A294118

Triangle T(n, k) is coefficient of zⁿ*w^k in 1/(1 - 2·z - 2·w - 2·z*w) read by rows in order 00, 10, 01, 20, 11, 02, ... A59473

Expansion of e.g.f.: exp(2*((1+x)² - 1)). A294119

Number of binary words of length n containing at least one subword 10⁹1 and no subwords 10ⁱ1 with i<9. A143289

Number of 2 X 2 nonsingular 0..n matrices with rows in increasing order. A183761

Number of 3 X 3 matrices with elements from [0,...,(n-1)] satisfying the condition that the middle element of each row or column is the difference of the two end elements (in absolute value). A58333

Coefficients of certain polynomials related to array A078740 ((3,2)-Stirling2). A91741