Properties of the Number 81760

Eighty-One Thousand Seven Hundred Sixty

Basics

Value: 81759 → 81760 → 81761

Parity: even

Prime: No

Previous Prime: 81749

Next Prime: 81761

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 × 7 × 73

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111101100000

Octal: 237540

Duodecimal: 3B394

Hexadecimal: 13f60

Square: 6684697600

Square Root: 285.9370560105843

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

Smallest k > 1 such that (sum of digits of kⁿ)*(sum of digits of kⁿ⁺¹) = k, or 0 if no such k exists. A126783

Expansion of ∑_k>=2 x^Fibonacci(k)/(1 - x^Fibonacci(k)) / ∏_k>=2 (1 - x^Fibonacci(k)). A281689

Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0. A33130

Expansion of (1-x)/(1-2·x-2·x²-3·x³). A77842

Floor-Sqrt transform of Riordan numbers (A005043). A192671

Number of compositions of n avoiding the patterns (1,2,3) and (3,2,1). A381981

a(n) = 1·2*3·4*5·6*7·8*9·10 + 11·12·13·14·15·16·17·18·19·20 + 21·22·23·24·25·26·27·28·29·30 + ... + (up to n). A319212

Decimal expansion of γ(1/3)*γ(5/6)/γ(1/6). A81760

One eighth of eighth unsigned column of Lanczos triangle A053125. A54331

Eighth diagonal (m=7) of triangle A084938; a(n) = A084938(n+7,n) = (n⁷ + 63·n⁶ + 1855·n⁵ + 34125·n⁴ + 438424·n³ + 3980172·n² + 20946960·n)/5040. A90393