Properties of the Number 10024

Ten Thousand Twenty-Four

Basics

Value: 10023 → 10024 → 10025

Parity: even

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 7 × 179

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 179, 358

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100101000

Octal: 23450

Duodecimal: 5974

Hexadecimal: 2728

Square: 100480576

Square Root: 100.11992808627062

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

Triangle read by rows: T(n,k) gives the number of set partitions of {1,...,n} with maximum block length k. A80510

Multiples of 7 whose sum of digits is equal to 7. A63416

Expansion of (1+2·x+3·x²)/((1-x)³*(1-x²)). A55232

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * ∑_k=0..n x^k * {[x^k] A(x)ⁿ}. A222658

Maximum detour index of any bipartite graph on n nodes. A296819

Number of meaningful differential operations of the k-th order on the space R¹². A129639

Position of 5ⁿ in A051037 (5-smooth numbers). A188427

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283889

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10001) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283890

Relative of Hofstadter Q-sequence. A283891