Properties of the Number 6170

Six Thousand One Hundred Seventy

Basics

Value: 6169 → 6170 → 6171

Parity: even

Prime: No

Previous Prime: 6163

Next Prime: 6173

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 617

Divisors: 1, 2, 5, 10, 617, 1234, 3085, 6170

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000011010

Octal: 14032

Duodecimal: 36A2

Hexadecimal: 181a

Square: 38068900

Square Root: 78.54934754662193

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

Coefficients of iterated exponentials. A359

Number of integer partitions of n whose sequence of multiplicities is a palindrome. A317085

Number of 6-line partitions of n (i.e., planar partitions of n with at most 6 lines). A225196

Numbers k that divide the sum of digits of 13^k. A175525

T(n,k)=Number of 0..k arrays of length n with each element differing from at least one neighbor by 2 or more. A221524

Triangle read by rows: matrix 5th power of the Stirling-1 triangle A008275. A39817

a(n) = number of steps to reach 0 when starting from k = n³ and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261227

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299753

Number of partitions of n such that the least part occurs exactly four times. A97092

Main diagonal of A101866. A101867