Properties of the Number 42367

Forty-Two Thousand Three Hundred Sixty-Seven

Basics

Value: 42366 → 42367 → 42368

Parity: odd

Prime: No

Previous Prime: 42359

Next Prime: 42373

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 3259

Divisors: 1, 13, 3259, 42367

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101111111

Octal: 122577

Duodecimal: 20627

Hexadecimal: a57f

Square: 1794962689

Square Root: 205.83245613848172

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 of partitions of n with positive rank. A64173

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302670

Numbers to which Mersenne primes 2^p-1 can be congruent mod k! (for k > 1). A145038

Numbers k such that the odd part of (1+k) divides (1+A003961(k)), where A003961 is fully multiplicative with a(p) = nextprime(p). A387411

G.f. A(x) satisfies: 2 = ∑_n=-oo..+oo (-x)^n*(n+1/2) * ((1+x)ⁿ⁺¹ - 2·A(x))ⁿ. A355155

Number of nX5 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302667

Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302671

Number of n X n 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302664

Denominators of continued fraction convergents to sqrt(710). A42367