Properties of the Number -31936

Thirty-One Thousand Nine Hundred Thirty-Six

Basics

Value: -31937 → -31936 → -31935

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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

5184 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

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

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