Properties of the Number 10347

Ten Thousand Three Hundred Forty-Seven

Basics

Value: 10346 → 10347 → 10348

Parity: odd

Prime: No

Previous Prime: 10343

Next Prime: 10357

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 3449

Divisors: 1, 3, 3449, 10347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001101011

Octal: 24153

Duodecimal: 5BA3

Hexadecimal: 286b

Square: 107060409

Square Root: 101.72020448268869

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

Number of complete partitions of n. A126796

Number of Greek-key tours on a 4 X n board; i.e., self-avoiding walks on 4 X n grid starting in top left corner. A46995

Numbers that are the sum of seven fifth powers in two or more ways. A345605

Numbers that are the sum of seven fifth powers in exactly two ways. A346279

Maximum coefficient of (1 - x)³ * (1 - x²)³ * (1 - x³)³ * ... * (1 - xⁿ)³. A369711

Potential magic constants of 7 X 7 magic squares composed of consecutive primes. A188536

Array read by upward antidiagonals: A(n, k) = A265745(A372560(n, k)) for n > 1, k >= 1. A372561

Numbers k that divide the sum of the digits of k^k. A108827

Semiprimes which have one or more occurrences of exactly five different digits. A235693

a(1) = 1, a(2) = 2; then a(n) = smallest number such that there are a(n-1) composite numbers between a(n) and a(n+1) exclusive. A82281