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Properties of the Number 51977

Fifty-One Thousand Nine Hundred Seventy-Seven

Basics

Value: 51976 → 51977 → 51978

Parity: odd

Prime: Yes

Previous Prime: 51973

Next Prime: 51991

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 51977

Divisors: 1, 51977

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101100001001

Octal: 145411

Duodecimal: 260B5

Hexadecimal: cb09

Square: 2701608529

Square Root: 227.98464860599717

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 (p+nextprime(p))/2 is a perfect square. A225195
Primes of the form k2 - 7. A28883
Lesser of consecutive primes whose average is a perfect power. A242380
Number of connected undirected unlabeled loopless multigraphs with 4 vertices and n edges. A290778
Primes of the form pq - 6, where p and q are consecutive primes. A99775
Primes of the form A037074(k) - 6, where A037074(k) is a twin prime product. A162834
Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302076
Number of partitions satisfying cn(0,5) + cn(2,5) < cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) < cn(1,5) + cn(4,5). A39885
a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2·n - 2 - 2p+1 and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = 1 and a(2) = a(3) = 3. A49927
T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302081