Properties of the Number 91800

Ninety-One Thousand Eight Hundred

Basics

Value: 91799 → 91800 → 91801

Parity: even

Prime: No

Previous Prime: 91781

Next Prime: 91801

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 5 ² × 17

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110011010011000

Octal: 263230

Duodecimal: 45160

Hexadecimal: 16698

Square: 8427240000

Square Root: 302.98514815086236

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

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles, including fixed points. A165076

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles of length greater than 1. A165078

Coreful 3-abundant numbers: numbers k such that csigma(k) > 3·k, where csigma(k) is the sum of the coreful divisors of k (A057723). A340109

Values of Newton-Gregory forward interpolating polynomial (1/3)*(n-1)*(2·n+3)*(2·n-1). A30440

Numbers with prime factorization pq^2r^3s³. A190320

Number of nonisomorphic unrooted unicursal planar maps with n edges and two vertices of valency 1 (unicursal means that exactly two vertices are of odd valency; there is an Eulerian path). A69725

Number of (w,x,y,z) with all terms in {1,...,n} and w+x<=2y+2z. A212563

Let d(1)<d(2)<...<d(q) denote the divisors of an integer k. a(n) = k is the smallest k such that the sum of its first n divisors, s = d(1) + ... + d(n), is also a divisor of k. A375574

Numbers n such that n | (sigma₅(n) - φ(n)⁵). A55699

Expansion of e.g.f.: cos(arctan(x)+log(x+1))=1-4/2!*x²+6/3!*x³+13/4!*x⁴-20/5!*x⁵... A12964