Properties of the Number 42615

Forty-Two Thousand Six Hundred Fifteen

Basics

Value: 42614 → 42615 → 42616

Parity: odd

Prime: No

Previous Prime: 42611

Next Prime: 42641

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 947

Divisors: 1, 3, 5, 9, 15, 45, 947, 2841, 4735, 8523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011001110111

Octal: 123167

Duodecimal: 207B3

Hexadecimal: a677

Square: 1816038225

Square Root: 206.43400882606528

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

a(n) = n*(13·n² - 7)/6. A62025

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 3 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367301

Expansion of ∏_k>=1 (1 - k^k*x^k). A292312

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1-j^k·j*x^j) in powers of x. A294653

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of exp(-∑_j>0 sigma_k(j)*x^j/j) in powers of x. A294947

Expansion of e.g.f. (1 + x)*(1 + x²/2)*cosh(x). A388428

Denominators of continued fraction convergents to sqrt(836). A42615