Properties of the Number 77792

Seventy-Seven Thousand Seven Hundred Ninety-Two

Basics

Value: 77791 → 77792 → 77793

Parity: even

Prime: No

Previous Prime: 77783

Next Prime: 77797

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 11 × 13 × 17

Divisors: 1, 2, 4, 8, 11, 13, 16, 17, 22, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111111100000

Octal: 227740

Duodecimal: 39028

Hexadecimal: 12fe0

Square: 6051595264

Square Root: 278.91217255616505

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, m), numerators of coefficients in a power/Fourier series expansion of the plane pendulum's exact differential time dependence. A274076

a(n) = 2*(n-1)*Catalan(n). A246574

a(n) is the index of the first occurrence of n in A331284. A331285

Number of length 1+3 0..n arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth. A249291

G.f.: ∏_k>=1 (1 + x^3·k²) / (1 - x^k). A385010

Expansion of (η(q) * η(q⁹))¹² in powers of q. A34436

n·10⁵-1, n·10⁵-3, n·10⁵-7 and n·10⁵-9 are all prime. A64979

Number of numbers k which give 1 after applying exactly n iterations of the 3k+1 algorithm (if a number is even, divide it by 2; if it is odd, multiply by 3 and add 1). This total includes numbers k which also give 1 for a smaller number of iterations (i.e., for this sequence we do not assume the algorithm halts when 1 is reached). A82538

Triangle read by rows: T(n, k) = (-1)^{n - k} * binomial(2n + 1, n - k) * L(2k + 1), 0 <= k <= n, where L(k) is the k-th Lucas number (A000032). A326832

Numbers k such that (10^k - 1)/3 + 5·10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime). A77792