Properties of the Number 5605

Five Thousand Six Hundred Five

Basics

Value: 5604 → 5605 → 5606

Parity: odd

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 19 × 59

Divisors: 1, 5, 19, 59, 95, 295, 1121, 5605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111100101

Octal: 12745

Duodecimal: 32B1

Hexadecimal: 15e5

Square: 31416025

Square Root: 74.86654793697917

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 integer partitions of n with a part dividing all the other parts. A83710

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 6 as largest digit. A256633

a(n) = n*(31·n + 1)/2. A22289

a(n) = ∑_d∣n φ(d³). A68963

Expansion of ∏_m>=1 ((1+q^2·m-1)/(1+q^2·m))⁵. A29842

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock. A186568

a(n) = 1 + (number of partitions of n, n>0). A52810

Product of n-th prime and n-th prime written backwards. A133019

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(2,3). A268525

Numbers that are the sum of ten fourth powers in six or more ways. A345599