Properties of the Number 10431

Ten Thousand Four Hundred Thirty-One

Basics

Value: 10430 → 10431 → 10432

Parity: odd

Prime: No

Previous Prime: 10429

Next Prime: 10433

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 61

Divisors: 1, 3, 9, 19, 57, 61, 171, 183, 549, 1159

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010111111

Octal: 24277

Duodecimal: 6053

Hexadecimal: 28bf

Square: 108805761

Square Root: 102.13226718329521

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

Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 10 all are equal. A135120

-9-Knödel numbers. A225513

Odd interprimes divisible by 19. A126231

a(n) = prime(n)*T(n), where T = A000217. A196421

T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical, diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-k-1. A211916

Number of partitions of n such that (least part) <= (multiplicity of greatest part). A240179

Sum of the divisors of the n-th odd square: a(n) = σ((2·n-1)²). A379223

a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k. A13935

Coefficient of X³ in the characteristic polynomial of the n-th power of the matrix M = {{1,1,1,1,1}, {1,0,0,0,0}, {0,1,0,0,0}, {0,0,1,0,0}, {0,0,0,1,0}}. A123127

Solution of the complementary equation a(n) = 2·a(n-2) - b(n-1) + n, where a(0) = 4, a(1) = 5, b(0) = 1, and (a(n)) and (b(n)) are increasing complementary sequences. A295068