Properties of the Number 57772

Fifty-Seven Thousand Seven Hundred Seventy-Two

Basics

Value: 57771 → 57772 → 57773

Parity: even

Prime: No

Previous Prime: 57751

Next Prime: 57773

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 11 × 13 × 101

Divisors: 1, 2, 4, 11, 13, 22, 26, 44, 52, 101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110000110101100

Octal: 160654

Duodecimal: 29524

Hexadecimal: e1ac

Square: 3337603984

Square Root: 240.35806622620345

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

a(n) = (n+1)*(n+2)²*(n+3)*(7n² + 28n + 30)/360. A114244

The number of binary pattern classes in the (2,n)-rectangular grid with 6 '1's and (2n-6) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228581

Number of binary strings of length n with no substrings equal to 0000 0101 or 1110. A164436

Number of length n+2 0..10 arrays with no consecutive three elements summing to more than 10. A241616

Wiener index of the n X n king graph. A292053

T(n,k)=Number of length n+2 0..k arrays with no consecutive three elements summing to more than k. A241619

Inverse Euler transform of A000016. A57772