Properties of the Number 42262

Forty-Two Thousand Two Hundred Sixty-Two

Basics

Value: 42261 → 42262 → 42263

Parity: even

Prime: No

Previous Prime: 42257

Next Prime: 42281

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 × 17 × 113

Divisors: 1, 2, 11, 17, 22, 34, 113, 187, 226, 374

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100010110

Octal: 122426

Duodecimal: 2055A

Hexadecimal: a516

Square: 1786076644

Square Root: 205.57723609388273

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

Expansion of g.f. A(x,y) satisfying x·y = ∑_n=-oo..+oo x^n*(3·n+1/2) * (A(x,y)^3·n - 1/A(x,y)^3·n+1), as a triangle read by rows. A361550

G.f.: 1/(1 - x/(1 - x²/(1 - x⁵/(1 - x¹²/(1 - x²⁹/(1 - x⁷⁰/(1 -...- x^Pell(n)/(1 -...)))))))), a continued fraction. A206743

Expansion of g.f. 1 / ∏_n>=1 ((1 - xⁿ)⁶ * (1 - x^2·n-1)⁴). A361535

G.f.: A(x) = exp( ∑_n>=1 A167010(n)*xⁿ/n ) where A167010(n) = ∑_k=0..n binomial(n,k)ⁿ. A167007

Numbers k such that 3·R_k + 10^k - 2 is prime, where R_k = 11...11 is the repunit (A002275) of length k. A259050

Number of strictly increasing arrangements of n nonzero numbers in -(n+2)..(n+2) with sum zero. A188117

Table read by downward antidiagonals: T(n,k) is the number of strictly increasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero. A188122

Numerators of continued fraction convergents to sqrt(657). A42262