Properties of the Number 20771

Twenty Thousand Seven Hundred Seventy-One

Basics

Value: 20770 → 20771 → 20772

Parity: odd

Prime: Yes

Previous Prime: 20759

Next Prime: 20773

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 20771

Divisors: 1, 20771

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101000100100011

Octal: 50443

Duodecimal: 1002B

Hexadecimal: 5123

Square: 431434441

Square Root: 144.12147653975794

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

Primes p such that p² divides 5^p-1 - 1. A123692

Primes from merging of 5 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2. A103809

T(n,k)=Number of length-(n+1) 0..k arrays with new repeated values introduced in sequential order starting with zero. A268261

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s. A297582

Numbers n such that 5^A000010(n) == 1 (mod n²). A242959

Primes p such that p is the largest member of a Wieferich tuple. A297846

Smallest odd prime p such that p² | n^p-1 - 1. A96082

Primes p for which exactly six bases b with 1 < b < p exist such that p is a base b Wieferich prime. A255209

Numbers that are the sum of seven fourth powers in six or more ways. A345572

Numbers that are the sum of seven fourth powers in exactly six ways. A345828