Properties of the Number 83522

Eighty-Three Thousand Five Hundred Twenty-Two

Basics

Value: 83521 → 83522 → 83523

Parity: even

Prime: No

Previous Prime: 83497

Next Prime: 83537

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 41761

Divisors: 1, 2, 41761, 83522

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011001000010

Octal: 243102

Duodecimal: 40402

Hexadecimal: 14642

Square: 6975924484

Square Root: 289.0017300986276

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 + 1. A2523

a(n) = ∑_{d∣n, n/d=1 mod 4} d⁴ - ∑_{d∣n, n/d=3 mod 4} d⁴. A50468

Sum of 4th powers of odd divisors of n. A51001

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

Replace 2ⁱ with nⁱ in binary representation of n. A104258

a(n) = ∑_d∣n (-1)^n/d+1*d⁴. A284900

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

Sum of the 4th powers of the odd proper divisors of n. A352032

Binary representation of n interpreted in base p, where p is the smallest prime factor of n: p = A020639(n). A92524