Properties of the Number 19931

Nineteen Thousand Nine Hundred Thirty-One

Basics

Value: 19930 → 19931 → 19932

Parity: odd

Prime: No

Previous Prime: 19927

Next Prime: 19937

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 19 × 1049

Divisors: 1, 19, 1049, 19931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111011011

Octal: 46733

Duodecimal: B64B

Hexadecimal: 4ddb

Square: 397244761

Square Root: 141.17719362559944

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

a(n) = 7ⁿ + 5ⁿ - 1. A155634

a(n) = ∑_k=1..n T(n,k), array T as in A049790. A49791

Number of partitions of n such that the number of parts and the smallest part are coprime. A200928

Number of partitions of n for which (number of occurrences of the least part) > (number of occurrences of greatest part). A236544

Number of paraffins. A5999

Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node). A38621

Number of n-step up-side self-avoiding walks on the lattice strip {-1,0,1} x Z (up-side means that the walks move up and sideways but not down). A171856

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + n + 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294368

Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down. A252978

Number of base 21 n-digit numbers with adjacent digits differing by five or less. A126542