Properties of the Number 69648

Sixty-Nine Thousand Six Hundred Forty-Eight

Basics

Value: 69647 → 69648 → 69649

Parity: even

Prime: No

Previous Prime: 69623

Next Prime: 69653

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 1451

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000000010000

Octal: 210020

Duodecimal: 34380

Hexadecimal: 11010

Square: 4850843904

Square Root: 263.90907525130694

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(1) = 1, a(2n) = 16a(n), a(2n+1) = a(2n)+1. A33052

a(n) = 121·n² - 2·n. A157040

Expansion of φ(-q⁶) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A262968

a(n) = n⁴ + n³ + n. A100606

a(n) = gpf(a(n-3))*gpf(a(n-2)) + gpf(a(n-1)), with a(1)=a(2)=1 and a(3)=2 and where gpf(n) is the greatest prime dividing n, A006530(n). A258804

Nonunitary doubly superperfect numbers: numbers k such that nusigma(nusigma(k)) = 2·k, where nusigma(k) = σ(k) - usigma(k) is the sum of nonunitary divisors of k (A048146). A329881

O.g.f. A(x) satisfies: [xⁿ] exp( n·x*A(x) ) * (n + 1 - A(x)) = 0 for n >= 0. A305110

a(1) = 1, otherwise smallest m > 1 such that the sum of digits of mⁿ is kⁿ for some k > 1. A69648