Properties of the Number 5597

Five Thousand Five Hundred Ninety-Seven

Basics

Value: 5596 → 5597 → 5598

Parity: odd

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 29 × 193

Divisors: 1, 29, 193, 5597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111011101

Octal: 12735

Duodecimal: 32A5

Hexadecimal: 15dd

Square: 31326409

Square Root: 74.81310045707235

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

Composite numbers whose divisors (except 1) all contain the digit 9. A62680

a(n) = 5·a(n-1) - 2·a(n-2) for n>1, with a(0) = 1, a(1) = 3. A52984

a(n) = 5·a(n-2) - 2·a(n-4), with initial terms 0,1,1,3. A5824

Sum of gcd(x, y) for 1 <= x, y <= n. A18806

Sum of largest parts (counted with multiplicity) of all partitions of n. A92321

Composites whose prime factorization in base 6 is an anagram of the number in base 6. A260050

Number of magic labelings with magic sum n of first graph shown in link. A244869

Triangle read by rows: T(n,k) (1 <= k <= n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = 6. A142461

Total number of parts coprime to n in the partitions of n into 8 parts. A363326

a(n) = A000041(n) - A032741(n). A167934