Properties of the Number 5617

Five Thousand Six Hundred Seventeen

Basics

Value: 5616 → 5617 → 5618

Parity: odd

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 41 × 137

Divisors: 1, 41, 137, 5617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111110001

Octal: 12761

Duodecimal: 3301

Hexadecimal: 15f1

Square: 31550689

Square Root: 74.94664769020693

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

Centered 16-gonal numbers. A69129

Let m = number of ways of partitioning n into parts using all the parts of a subset of {1, 2, ..., n-1} whose sum of all parts of a subset is less than n; a(n) gives number of different subsets of {1, 2, ..., n-1} whose m is 0. A88528

Number of partitions of n having no parts with multiplicity 3. A118807

Numbers k that are the products of two distinct primes such that 2·k-1, 4·k-3, 8·k-7 and 16·k-15 are also products of two distinct primes. A177213

Numbers of the form (4k+3)²-8 or (4k+5)²+4. A214405

a(1) = 1; for n>1, a(n) = least k such that concatenation of n copies of k with all previous concatenations gives a prime. A111471

Numbers that are the sum of five third powers in seven or more ways. A345180

a(n) = n*(3·n+14). A140679

Numbers k that are the products of two distinct primes such that 2·k-1, 4·k-3, 8·k-7, 16·k-15 and 32·k-31 are also products of two distinct primes. A177214

Array read by antidiagonals: T(m,n) = number of connected dominating sets in the grid graph P_m X P_n. A291872