Properties of the Number 10647

Ten Thousand Six Hundred Forty-Seven

Basics

Value: 10646 → 10647 → 10648

Parity: odd

Prime: No

Previous Prime: 10639

Next Prime: 10651

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 13 ²

Divisors: 1, 3, 7, 9, 13, 21, 39, 63, 91, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110010111

Octal: 24627

Duodecimal: 61B3

Hexadecimal: 2997

Square: 113358609

Square Root: 103.18430113151904

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) = n³ - 1. A68601

Number of transitive finitary sets with n brackets. Number of transitive rooted identity trees with n nodes. A279861

Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity). A39752

Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c²+d²)/2)). A134602

a(n) = 7·n². A33582

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A297694

Numbers n such that n(n+1) is 13-smooth. (Related to the abc conjecture.) A252493

Numbers k such that k and k+1 are both divisible by the square of their largest prime factor. A354558

Values for b in abc-triples with a=1. A216323