Properties of the Number 79863

Seventy-Nine Thousand Eight Hundred Sixty-Three

Basics

Value: 79862 → 79863 → 79864

Parity: odd

Prime: No

Previous Prime: 79861

Next Prime: 79867

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 3803

Divisors: 1, 3, 7, 21, 3803, 11409, 26621, 79863

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011111110111

Octal: 233767

Duodecimal: 3A273

Hexadecimal: 137f7

Square: 6378098769

Square Root: 282.60042462813107

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

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 9·A(x))ⁿ = 1 + 11*∑_n>=1 (-1)ⁿ * x^n². A370029

Number of partitions p of n such that p contains fewer 1s than its conjugate. A240690

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (-1)^k * (x^k + n·R(n,x))^k = 1 + (n+2)*∑_k>=1 (-1)^k * x^k², for n >= 1, as read by antidiagonals. A370020

a(n) is the number of occurrences of 11s in the palindromic compositions of m=2·n-1 = the number of occurrences of 12s in the palindromic compositions of m=2·n. A79863