Properties of the Number 77313

Seventy-Seven Thousand Three Hundred Thirteen

Basics

Value: 77312 → 77313 → 77314

Parity: odd

Prime: No

Previous Prime: 77291

Next Prime: 77317

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 25771

Divisors: 1, 3, 25771, 77313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111000000001

Octal: 227001

Duodecimal: 388A9

Hexadecimal: 12e01

Square: 5977299969

Square Root: 278.0521533813396

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

Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle. A1006

Generalized Catalan numbers: a(n+1) = a(n) + ∑_k=1..n-1 a(k)*a(n-1-k). A4148

Whitney number of level n of the lattice of the ideals of the fence of order 2n. A51286

Primes of the form 2^r*5^s - 1. A77313

Expansion of (1 - x - x² - sqrt(1 - 2·x - 5·x² - 2·x³ + x⁴)) / (2·x + 2·x²). A78481

Number of left factors of peakless Motzkin paths of length n. A91964

Number of Motzkin paths of length n having no UHD's (U=(1,1), H=(1,0), D=(1,-1)). A114584

a(n) = A175369(n³). A175371