Properties of the Number 10098

Ten Thousand Ninety-Eight

Basics

Value: 10097 → 10098 → 10099

Parity: even

Prime: No

Previous Prime: 10093

Next Prime: 10099

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 11 × 17

Divisors: 1, 2, 3, 6, 9, 11, 17, 18, 22, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011101110010

Octal: 23562

Duodecimal: 5A16

Hexadecimal: 2772

Square: 101969604

Square Root: 100.48880534666536

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

T(n,k)=Number of length n+3 0..k arrays with no disjoint pairs in any consecutive four terms having the same sum. A247726

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=8. A135193

The second crank moment function M₂(n). A220909

Numbers k such that σ(k) = 9*φ(k). A163667

a(n) = 14·n² - 4·n. A195023

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208420

Expansion of ψ(-q³) / ψ(-q)³ in powers of q where ψ() is a Ramanujan θ function. A132974

Related to triple factorial numbers 2·A034000(n+1). A34164

Expansion of ψ(q³) / ψ(q)³ in powers of q where ψ() is a Ramanujan θ function. A132979

Principal diagonal of the convolution array A213819. A213820