Properties of the Number 33104

Thirty-Three Thousand One Hundred Four

Basics

Value: 33103 → 33104 → 33105

Parity: even

Prime: No

Previous Prime: 33091

Next Prime: 33107

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 2069

Divisors: 1, 2, 4, 8, 16, 2069, 4138, 8276, 16552, 33104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000000101010000

Octal: 100520

Duodecimal: 171A8

Hexadecimal: 8150

Square: 1095874816

Square Root: 181.94504664870655

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) = floor(n*φ¹⁶), where φ is the golden ratio, A001622. A4931

Least number·such that xⁿ has n digits equal to k. Case k = 6. A285453

a(n) = 54·n² - 26·n + 4 (n>=1). A304381

a(n) = ∑_k=0..n 2^{n - k} * ∑_j=0..k binomial(k, j) * (2·j + 1)ⁿ. Row sums of A363398. A363396

a(n) = ∑_k=0..n 2^{n - k} * ∑_j=0..k binomial(k, j) * ((2 - (n mod 2)) * j + 1)ⁿ. Row sums of A363400. A363401

Multiplicity of highest weight (or singular) vectors associated with character chi₈₀ of Monster module. A34468

Number of (n+1)-extended Skolem sequences of order n. A285485

Number of 5's when k is written in base b for all b and k satisfying 2<=b<=n+1, 1<=k<=n. A33104