Properties of the Number 33936

Thirty-Three Thousand Nine Hundred Thirty-Six

Basics

Value: 33935 → 33936 → 33937

Parity: even

Prime: No

Previous Prime: 33931

Next Prime: 33937

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 101

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010010010000

Octal: 102220

Duodecimal: 17780

Hexadecimal: 8490

Square: 1151652096

Square Root: 184.21726303471127

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

Increments used in Sedgewick-Incerpi upper bound for shell sort. A36569

Number of zero trace primitive elements in Galois field GF(11ⁿ). A192215

a(n) = ∑_{1 <= i, j, k, l, m <= n} gcd(i,j,k,l,m). A344524

Triangle read by rows: T(n,k) = number of heapable permutations of length n with exactly k consecutive pairs. A389993

Expansion of (1-x⁶) / (1-x)⁶. A8488

The case S(6,-4,-1) of the family of self-convolutive recurrences studied by Martin and Kearney. A172455

Numbers k such that cototient(k) is a square and sets a new record for squares. A63753

G.f.: A(x) = A₁ where A₁ = 1/[1 - x*(A₂)³], A₂ = 1/[1 - x²*(A₃)³], A₃ = 1/[1 - x³*(A₄)³], ... A_n = 1/[1 - xⁿ*(A_n+1)³] for n>=1. A132334

Inverse of coefficient array for orthogonal polynomials p(n,x)=(x-(2n-1))*p(n-1,x)-(2n-2)²*p(n-2,x). A182824

Expansion of tan(log(1+x)*exp(x)). A9651