Properties of the Number 77053

Seventy-Seven Thousand Fifty-Three

Basics

Value: 77052 → 77053 → 77054

Parity: odd

Prime: No

Previous Prime: 77047

Next Prime: 77069

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 29 × 2657

Divisors: 1, 29, 2657, 77053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10010110011111101

Octal: 226375

Duodecimal: 38711

Hexadecimal: 12cfd

Square: 5937164809

Square Root: 277.58422145359776

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-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and three times sum of squares <= n·k*(k+1). A208814

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222430

a(n) = 6·binomial(n,4) + 6·binomial(n,3) + 4·binomial(n,2) + 2·n + 1. A385689

Number of nX5 0..2 arrays with exactly floor(nX5/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222428

Number of n-bead necklaces labeled with numbers -5..5 not allowing reversal, with sum zero and three times sum of squares <= n*(5)*(5+1). A208811

Greatest common divisor of indecomposable Wallis pairs. A77053