Properties of the Number 10642

Ten Thousand Six Hundred Forty-Two

Basics

Value: 10641 → 10642 → 10643

Parity: even

Prime: No

Previous Prime: 10639

Next Prime: 10651

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 17 × 313

Divisors: 1, 2, 17, 34, 313, 626, 5321, 10642

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100110010010

Octal: 24622

Duodecimal: 61AA

Hexadecimal: 2992

Square: 113252164

Square Root: 103.16006979447037

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

Numbers which converge to 2592 under repeated application of the powertrain map of A133500. A135384

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

Dirichlet inverse of sigma₄ function (A001159). A53826

Triangular array, read by rows: T(n,k) = ∑_d∣n d^k, 0 <= k < n. A82771

Sum of n-th powers of divisors of 10. A34517

Row sums of (A008550 formatted as a triangular array). A132745

Number of binary strings of length n avoiding "squares" (that is, repeated blocks of the form xx) with |x| > 3. A230177

Sum of fourth powers of unitary divisors. A34678