Properties of the Number 33280

Thirty-Three Thousand Two Hundred Eighty

Basics

Value: 33279 → 33280 → 33281

Parity: even

Prime: No

Previous Prime: 33247

Next Prime: 33287

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁹ × 5 × 13

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001000000000

Octal: 101000

Duodecimal: 17314

Hexadecimal: 8200

Square: 1107558400

Square Root: 182.42806801586207

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) = ∏_i=1..n (3ⁱ - 1). A27871

Nonprime Heinz numbers of integer partitions whose product is equal to their sum. A301988

Sums of distinct powers of 8. A33045

Droll numbers: numbers > 1 whose sum of even prime factors equals the sum of odd prime factors. A19507

a(n) = n¹⁰*(n⁶ + 1)/2. A170798

Numbers k such that the cumulative sums of the k-th composition in graded reverse lexicographic order ("standard order", see A066099) do not cover all residue classes modulo p for any prime p; i.e., such that (0, x₁, ..., x₁+...+x_j) is an admissible prime tuple pattern, where (x₁, ..., x_j) is the k-th composition. A387383

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^{8^(k-1}). A344252

Dirichlet g.f.: ∏_k>=2 (1 + k^-s)^{8^(k-1}). A344271

a(n) = n⁵ + n³. A155977

Sums of two powers of 8. A55259