Properties of the Number 42096

Forty-Two Thousand Ninety-Six

Basics

Value: 42095 → 42096 → 42097

Parity: even

Prime: No

Previous Prime: 42089

Next Prime: 42101

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 877

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010001110000

Octal: 122160

Duodecimal: 20440

Hexadecimal: a470

Square: 1772073216

Square Root: 205.17309765171456

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

Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of π. A49520

θ series of direct sum of 2 copies of D₄ lattice in powers of q². A8658

a(n) is the sum of the divisors of n!-1. A366757

a(1)=1, a(n) = a(n-1) + n³ if n odd, a(n) = a(n-1) + n⁵ if n is even. A140156

Number of multisets of exactly three partitions of positive integers into distinct parts with total sum of parts equal to n. A320788

Number of 3 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing. A223950

If n=0 then 1 otherwise 48*(1+12·A318935(n))*(sum of cubes of odd divisors of n). A318939

Row sums of A309038. A328685

Numerators of continued fraction convergents to sqrt(572). A42096

Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically. A208167