Properties of the Number 10503

Ten Thousand Five Hundred Three

Basics

Value: 10502 → 10503 → 10504

Parity: odd

Prime: No

Previous Prime: 10501

Next Prime: 10513

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 389

Divisors: 1, 3, 9, 27, 389, 1167, 3501, 10503

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100000111

Octal: 24407

Duodecimal: 60B3

Hexadecimal: 2907

Square: 110313009

Square Root: 102.48414511523234

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

Integer part of Gauss's Arithmetic-Geometric Mean M(1,n³). A127759

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal, vertical, diagonal or antidiagonal neighbor. A232352

Sum of the third largest parts of the partitions of n into 8 squarefree parts. A326450

Number k such that both k and k+1 have an equal number of unitary and nonunitary divisors. A335328

First of two consecutive numbers with at least one 3 in their prime signature. A176313

Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 5 and (n+6) mod 8 <> 1. A96024

Position of 2ⁿ in A051037 (5-smooth numbers). A188425

G.f. A(x) satisfies: A(x) = (1 + x) * A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307605

Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k primitive Dyck factors (n >= 0; 0 <= k <= n). A129154

Number T(n,k) of solid standard Young tableaux of n cells and height >= k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A215120