Properties of the Number 42705

Forty-Two Thousand Seven Hundred Five

Basics

Value: 42704 → 42705 → 42706

Parity: odd

Prime: No

Previous Prime: 42703

Next Prime: 42709

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 73

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 65, 73

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1010011011010001

Octal: 123321

Duodecimal: 20869

Hexadecimal: a6d1

Square: 1823717025

Square Root: 206.65188119153427

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

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n} k². A50409

a(n)=a(n-1)+a(m), where m=2n-2-2^p+1 and 2^p<n-1<=2^p+1, for n >= 4. A50063

Number of n X 3 0..1 arrays with every element equal to 1, 2 or 4 king-move adjacent elements, with upper left element zero. A297853

Irregular triangle read by rows: T(n, k) is the q-multinomial coefficient defined by the k-th partition of n in Abramowitz-Stegun order, evaluated at q = 8. A347490

Numbers k such that 7·k+1 divides 7^k+1. A381258

Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A206337

Molien series for group Gamma_3,0(2). A27632

Number of tilings of a (k*(3k-1)/2, k*(3k+1)/2)-benzel by bones. A364134

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A206343

a(n) = floor(1/((n·r) mod 1)), where r = φ^-2 = (3 - sqrt(5))/2. A89808