Properties of the Number 20735

Twenty Thousand Seven Hundred Thirty-Five

Basics

Value: 20734 → 20735 → 20736

Parity: odd

Prime: No

Previous Prime: 20731

Next Prime: 20743

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 11 × 13 × 29

Divisors: 1, 5, 11, 13, 29, 55, 65, 143, 145, 319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000011111111

Octal: 50377

Duodecimal: BBBB

Hexadecimal: 50ff

Square: 429940225

Square Root: 143.99652773591453

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

Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5·n-2)/6. A2413

Number of integer partitions of n into relatively prime parts that are all greater than 1. A302698

a(n) = n⁴ - 1. A123865

a(n) = Fibonacci(n+2)² - 1. A80097

Betrothed (or quasi-amicable) numbers. A5276

a(n) = 36n² - 1. A136017

a(n) = 12ⁿ - 1. A24140

a(n) = F(4)*F(n)*F(n+1) + F(5)*F(n+1)² if n odd, a(n) = F(4)*F(n)*F(n+1) + F(5)*F(n+1)² - F(5) if n even, where F(n) is the n-th Fibonacci number (A000045). A80144

a(n) = 16n² + 32n + 15. A141759

The larger of a betrothed pair. A3503