Properties of the Number 43097

Forty-Three Thousand Ninety-Seven

Basics

Value: 43096 → 43097 → 43098

Parity: odd

Prime: No

Previous Prime: 43093

Next Prime: 43103

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 71 × 607

Divisors: 1, 71, 607, 43097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100001011001

Octal: 124131

Duodecimal: 20B35

Hexadecimal: a859

Square: 1857351409

Square Root: 207.59816954877036

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

G.f. A(x) satisfies A(x) = 1 + x·A(x)⁵ / (1 - x·A(x)). A364748

Number of partitions of n in which any two parts differ by at most 10. A218512

a(n) is the maximum integer for which some minimum-length sum equaling a(n) of perfect squares less than n² excludes (n-1)². A377084

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * ∑_j=1..n binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0. A336706

Numbers k such that 0 and 1 occur juxtaposed in the base-3 representation of k but not of k-1. A43097