Properties of the Number 98020

Ninety-Eight Thousand Twenty

Basics

Value: 98019 → 98020 → 98021

Parity: even

Prime: No

Previous Prime: 98017

Next Prime: 98041

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 13 ² × 29

Divisors: 1, 2, 4, 5, 10, 13, 20, 26, 29, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111011100100

Octal: 277344

Duodecimal: 48884

Hexadecimal: 17ee4

Square: 9607920400

Square Root: 313.0814590485997

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

Numbers whose square can be represented in exactly three ways as the sum of a positive square and a positive fourth power. A345968

Numbers k such that k, k+1 and k+2 have exactly 4 distinct prime factors. A364309

Numbers X such that X² + Y² = 10^2·k + 1, with X > Y > 0 and k is the decimal digit length of X-1. A368418

Expansion of e.g.f. 1 / (1 + 5·log(1-x))^2/5. A365585

G.f. satisfies A(x) = 1 + x·A(x)⁵ / (1 + x·A(x)⁶). A365226

Let f[n] = fractional part of n*π and let g[x] = -1 for the range 0<=x<=1/3, g[x] = 0 for the range 1/3<x<=2/3, g[x] = 11 for range 2/3<x<1. Sequence gives all positive integers n such that f[n+2]-2·f[n+1]+f[n]-g[f[n+1]] = 0. A98020