Properties of the Number 20807

Twenty Thousand Eight Hundred Seven

Basics

Value: 20806 → 20807 → 20808

Parity: odd

Prime: Yes

Previous Prime: 20789

Next Prime: 20809

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 20807

Divisors: 1, 20807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000101000111

Octal: 50507

Duodecimal: 1005B

Hexadecimal: 5147

Square: 432931249

Square Root: 144.24631711069785

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

Smaller of two consecutive primes whose sum is a square. A61275

Number of integer partitions of n with more adjacent equal parts than distinct parts. A360254

Smaller member of a twin prime pair with a square sum. A69496

Primes of the form 8·k² - 1. A90684

Father primes of order 8. A136077

Lesser of consecutive primes whose sum is a perfect power (A001597). A91624

Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways. A64283

Triangle read by rows, where row n starts with n-th prime, followed by n primes in arithmetic progression; T(0,0) = 1 by convention. A211890

a(n) = 18·n² - 1. A157910

Solid partitions of n which are restricted to two planes. A2835