Properties of the Number 58077

Fifty-Eight Thousand Seventy-Seven

Basics

Value: 58076 → 58077 → 58078

Parity: odd

Prime: No

Previous Prime: 58073

Next Prime: 58099

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 239

Divisors: 1, 3, 9, 27, 81, 239, 243, 717, 2151, 6453

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001011011101

Octal: 161335

Duodecimal: 29739

Hexadecimal: e2dd

Square: 3372937929

Square Root: 240.9917011019259

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)=1/3 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having at least two equal elements connected horizontally or vertically. A184376

Discriminants of totally real cubic fields with 3 associated nonconjugate fields. A329787

Unitary Ruth-Aaron numbers: numbers k such that A008475(k) = A008475(k+1). A331000

1/3 the number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock having at least two equal elements connected horizontally or vertically. A184368

1/3 the number of (n+1)X6 0..2 arrays with every 2X2 subblock having at least two equal elements connected horizontally or vertically. A184372

a(n) = 3^n-3*(binomial(n,3) + 3·binomial(n,2) + 9·n + 27). A384198

Binomial coefficients formed from consecutive primes: a(n) = binomial( prime(n+1), prime(n) ). A58077