Properties of the Number 30852

Thirty Thousand Eight Hundred Fifty-Two

Basics

Value: 30851 → 30852 → 30853

Parity: even

Prime: No

Previous Prime: 30851

Next Prime: 30853

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 857

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100010000100

Octal: 74204

Duodecimal: 15A30

Hexadecimal: 7884

Square: 951845904

Square Root: 175.64737401965337

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

Number of partitions satisfying 0 < cn(0,5) + cn(2,5) + cn(3,5). A39899

Expansion of e.g.f. exp(-x/2) / (1-2·x)^1/4. A383313

Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089867/A089868. A89846

Expansion of f(-x, -x⁷) / f(-x, -x) in powers of q where f(, ) is Ramanujan's general θ function. A132212

Riordan array [exp(-x/2)(1-2x)^-1/4,x]. A152148

Numbers n such that n is both the average of some twin prime pair p, q (q = p+2) (i.e., n = p+1 = q-1) and is also the arithmetic mean of the four numbers consisting of the two primes before p and the two primes after q. A256620

[ exp(19/20)*n! ]. A30852

a(n) is the nearest integer to 1/(H(k) - n), where H(k) is the smallest harmonic number that exceeds n. A352026