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Properties of the Number 31197

Thirty-One Thousand One Hundred Ninety-Seven

Basics

Value: 31196 → 31197 → 31198

Parity: odd

Prime: No

Previous Prime: 31193

Next Prime: 31219

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 10399

Divisors: 1, 3, 10399, 31197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 111100111011101

Octal: 74735

Duodecimal: 16079

Hexadecimal: 79dd

Square: 973252809

Square Root: 176.62672504465456

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 nXk 0..1 arrays with every element unequal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316932
T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317703
spt(n) - p(n): total number of smallest parts in all partitions of n minus the number of partitions of n. A215513
Number of n X 3 0..1 arrays with every element unequal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316927
Number of vertices in a Y-shaped polygon with equal arms of length n (see the Comments in A335861 for definition). A337790
Number of n X 7 0..1 arrays with every element unequal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316931
Number of n X 7 0..1 arrays with every element unequal to 0, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317702
Number of permutations of length n which avoid the patterns 1234, 3421, 4312. A116756
Numbers having period-4 6-digitized sequences. A31197