Properties of the Number 42696

Forty-Two Thousand Six Hundred Ninety-Six

Basics

Value: 42695 → 42696 → 42697

Parity: even

Prime: No

Previous Prime: 42689

Next Prime: 42697

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 593

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011011001000

Octal: 123310

Duodecimal: 20860

Hexadecimal: a6c8

Square: 1822948416

Square Root: 206.63010429267078

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

Square analog to Keith numbers. A274769

The number of permutations of length n sortable by 2 reversals. A228396

Numbers n such that prime(n) + reversal(prime(n)) is a square. A227371

The number of binary pattern classes in the (2,n)-rectangular grid with 7 '1's and (2n-7) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228582

G.f.: ∑_n>=0 xⁿ/((1+x)^2·n*(1 - (2·n)*x)). A245156

Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. A260604

Numbers k such that k - 13, k + 1, k + 5, k + 7, and k + 13 are all prime. A281937

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. A260609

Numerators of continued fraction convergents to sqrt(878). A42696

The hyper-Wiener index of the nanostar dendrimer NS₂[n], defined pictorially in the A. R. Ashrafi et al. reference. A224453