Properties of the Number 70992

Seventy Thousand Nine Hundred Ninety-Two

Basics

Value: 70991 → 70992 → 70993

Parity: even

Prime: No

Previous Prime: 70991

Next Prime: 70997

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 17 × 29

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010101010000

Octal: 212520

Duodecimal: 35100

Hexadecimal: 11550

Square: 5039864064

Square Root: 266.4432397340942

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 x⁴*(2+x)/((1+x)*(1-x)⁵). A82289

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 165", based on the 5-celled von Neumann neighborhood. A279504

G.f. A(x) equals series_reversion(x·F(x))/x where F(x) is the g.f. of A120952; a(2·n) = 0 for n>=1. A120954

Euler totient function of Cullen numbers (A002064), n·2ⁿ +1. A56820

G.f. A(x) satisfies: A(x) = 1 + x·A(x⁴/(1 - x)⁴) / (1 - x)⁴. A354696

(Sum of digits of n)⁶ - (sum of digits⁶ of n). A69966

G.f. A(x) satisfies the condition that both series_reversion(x/A(x))/x (cf. A120953) and series_reversion(x·A(x))/x (cf. A120954) have zeros for every other coefficient after initial terms. A120952

Partial sums of A002487. A70992

Triangle read by rows: T(n,k) is the number of chains of length k in the poset of all arithmetic progressions contained in {1,...,n} of length in the range [1..n-1], ordered by inclusion. A347580