Properties of the Number 83079

Eighty-Three Thousand Seventy-Nine

Basics

Value: 83078 → 83079 → 83080

Parity: odd

Prime: No

Previous Prime: 83077

Next Prime: 83089

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17 × 181

Divisors: 1, 3, 9, 17, 27, 51, 153, 181, 459, 543

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010000111

Octal: 242207

Duodecimal: 400B3

Hexadecimal: 14487

Square: 6902120241

Square Root: 288.2342797100997

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

Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951). A1522

Square array read by upward antidiagonals, A(n,k) = ∑_j=0..n (n-j)!*C(n,n-j)* C(n-1,n-j)*k^j, for n>=0 and k>=0. A253286

Expansion of e.g.f.: exp(∑_k>=1 3·x^k). A255806

Group the natural numbers such that the n-th group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the n-th group. A86491

a(n) = ∑_{k=0..floor(n/2)} T(n-k,k), T given by A026736. A26746

Number of independent vertex sets in the n-Cameron graph. A387561

4th column of number array A083075. A83079