Properties of the Number 61058

Sixty-One Thousand Fifty-Eight

Basics

Value: 61057 → 61058 → 61059

Parity: even

Prime: No

Previous Prime: 61057

Next Prime: 61091

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 30529

Divisors: 1, 2, 30529, 61058

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110111010000010

Octal: 167202

Duodecimal: 2B402

Hexadecimal: ee82

Square: 3728079364

Square Root: 247.09917037497314

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6. A251829

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6. A251822

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6. A251826

Number of (1+2) X (n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252720

G.f.: 1/(1-x)³ * ∏_k>=1 (1 + x^k). A325951

Expansion of e.g.f. exp(exp(x) - exp(3·x)). A368017

Duplicate of A060795. A61058