Properties of the Number 42366

Forty-Two Thousand Three Hundred Sixty-Six

Basics

Value: 42365 → 42366 → 42367

Parity: even

Prime: No

Previous Prime: 42359

Next Prime: 42373

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 23 × 307

Divisors: 1, 2, 3, 6, 23, 46, 69, 138, 307, 614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101111110

Octal: 122576

Duodecimal: 20626

Hexadecimal: a57e

Square: 1794877956

Square Root: 205.83002696399765

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

Number T(n,k) of permutations p of [n] such that in 0p the largest up-jump equals k and no down-jump is larger than 2; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A291680

a(0)=1, a(n) = ∑_k=0..n (binomial(n,k)² * binomial(n+k,k+1)²)/n². A74635

a(n) = 27·n² - 21·n + 6 (n>=1). A304164

Row sums of A325433. A325434

Number of permutations p of [n] such that in 0p the largest up-jump equals six and no down-jump is larger than 2. A321113

Numerators of continued fraction convergents to sqrt(710). A42366