Properties of the Number 40734

Forty Thousand Seven Hundred Thirty-Four

Basics

Value: 40733 → 40734 → 40735

Parity: even

Prime: No

Previous Prime: 40709

Next Prime: 40739

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 31 × 73

Divisors: 1, 2, 3, 6, 9, 18, 31, 62, 73, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111100011110

Octal: 117436

Duodecimal: 1B6A6

Hexadecimal: 9f1e

Square: 1659258756

Square Root: 201.82665829864993

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) = a(n-2) + a(n-3) + a(n-4) - a(n-6), with a(0) = a(2) = a(3) = 1, a(1) = 0 and a(4) = a(5) = 2. A143438

Numbers b such that b²⁶²¹⁴⁴+1 is prime. A244150

Expansion of (1/x) * Series_Reversion( x*(1+x)*(1-x)³ ). A365751

a(n) = C(n,5) + C(n,4) - C(n,3) + 1, n >= 7. A5288

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+4,5). A344205

a(n) = sum for all integer partitions of n of the difference between number of different parts and number of different multiplicities. A373243

Sums of the diagonals of the matrix formed by listing the h-Stohr sequences in increasing order. A193911

a(n) = prime(n) + n³ + n² + 4n - 1. A60822

Number of reduced words of length n in the Weyl group A₂₀. A161513

Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259004