Properties of the Number 42785

Forty-Two Thousand Seven Hundred Eighty-Five

Basics

Value: 42784 → 42785 → 42786

Parity: odd

Prime: No

Previous Prime: 42773

Next Prime: 42787

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 43 × 199

Divisors: 1, 5, 43, 199, 215, 995, 8557, 42785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100100001

Octal: 123441

Duodecimal: 20915

Hexadecimal: a721

Square: 1830556225

Square Root: 206.84535286053685

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) = ∑_k=0..n (-1)^k*C(n, k)²*C(2·k, k), where C(n, k) denotes the binomial coefficient n!/(k!*(n-k)!). A244973

Number of Twopins positions. A5689

p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = (1 - S²). A289918

Diagonal sums of the triangular matrix A190088. A190090

Expansion of (1 - x + x³)/((1 - x + x³)² - 4·x³). A376717

Number of partitions of n into parts not of the form 21k, 21k+8 or 21k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 9 are greater than 1. A35986

Denominators of continued fraction convergents to sqrt(923). A42785