Properties of the Number 40834

Forty Thousand Eight Hundred Thirty-Four

Basics

Value: 40833 → 40834 → 40835

Parity: even

Prime: No

Previous Prime: 40829

Next Prime: 40841

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 17 × 1201

Divisors: 1, 2, 17, 34, 1201, 2402, 20417, 40834

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111110000010

Octal: 117602

Duodecimal: 1B76A

Hexadecimal: 9f82

Square: 1667415556

Square Root: 202.07424378183381

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

sigma₄(n): sum of 4th powers of divisors of n. A1159

a(n) = n⁴*∏_{distinct primes p dividing n} (1+1/p⁴). A65960

Sum of the 4th powers of the squarefree divisors of n. A351267

Dirichlet inverse of sigma₄ function (A001159). A53826

Sum of fourth powers of unitary divisors. A34678

E.g.f. ∑_d∣M (exp(d·x)-1)/d, M=14. A141013

a(n) = ∑_{d divides n} (-1)^{d + n/d} * d⁴. A321560

a(n) = ∑_k=0..n 2^k * 3^n-k * Stirling2(n,k). A390888

Numbers k such that 403·2^k+1 is prime. A323101

Continued fraction for sqrt(864). A40834