Properties of the Number 31740

Thirty-One Thousand Seven Hundred Forty

Basics

Value: 31739 → 31740 → 31741

Parity: even

Prime: No

Previous Prime: 31729

Next Prime: 31741

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 23 ²

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101111111100

Octal: 75774

Duodecimal: 16450

Hexadecimal: 7bfc

Square: 1007427600

Square Root: 178.15723392554116

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

Number of integer partitions of n such that the least part plus the greatest part is odd. A390092

T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234114

Triangle read by rows: Number of walks from (0,0) to (3n,3k) on the square lattice with up and right steps where squares (x,y)=(1,1) mod 3 or (x,y)=(2,2) mod 3 are not entered. A348595

T(n,k) counts ordered complete ternary trees with 2·n-1 leaves having k internal vertices colored black, the remaining n-1-k internal vertices colored white, and such that each vertex and its rightmost child have different colors. A196201

Consecutive states of the linear congruential pseudo-random number generator for Smalltalk-80 when started at 1. A384220

Number of (n+1)X(3+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234109

Number of (n+1)X(4+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234110

Triangle read by rows: T(n,k) (n >= 1, 1 <= k <= n) = number of normalized 2n-plets associated to trees with k edges. A294439

Numbers k such that 3·10^k - 13 is prime. A295327

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 62. A31740