Properties of the Number 9010

Nine Thousand Ten

Basics

Value: 9009 → 9010 → 9011

Parity: even

Prime: No

Previous Prime: 9007

Next Prime: 9011

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 17 × 53

Divisors: 1, 2, 5, 10, 17, 34, 53, 85, 106, 170

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100110010

Octal: 21462

Duodecimal: 526A

Hexadecimal: 2332

Square: 81180100

Square Root: 94.92101980067429

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

18-gonal (or octadecagonal) numbers: a(n) = n*(8·n-7). A51870

T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and adjacent elements differing in absolute value. A202962

Number of vertices formed when n equally spaced points are placed around a circle and all pairs of points are joined by an interior arc whose radius equals the circle's radius. A371254

E.g.f. A(x) satisfies A(x) = exp(x·A(x)/(1 + x)). A335945

Numbers k such that k*(k+2) gives the concatenation of two numbers m and m+1. A116295

a(2·n+1) = 9·a(n), a(2·n+2) = 10·a(n) + a(n-1). A116555

a(n) = n*(2·n² + 5·n + 1)/2. A162254

Numbers whose set of base-16 digits is {2,3}. A32816

a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit. A68860

G.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (1 + xⁿ)ⁿ. A326003