Properties of the Number 30245

Thirty Thousand Two Hundred Forty-Five

Basics

Value: 30244 → 30245 → 30246

Parity: odd

Prime: No

Previous Prime: 30241

Next Prime: 30253

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 23 × 263

Divisors: 1, 5, 23, 115, 263, 1315, 6049, 30245

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011000100101

Octal: 73045

Duodecimal: 15605

Hexadecimal: 7625

Square: 914760025

Square Root: 173.91089672588086

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - x - x². A367208

G.f.: ∑_n>=0 xⁿ * ∏_k=1..n (1+x^k)/(1-x^k). A207641

Numbers k such that A003415(k) >= A276086(k) and gcd(k, A003415(k)) = gcd(k, A276086(k)), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function. A369959

Numbers k such that (A276086(k)/s)^s >= k^s-1 and A276086(k) <= A003415(k), where A003415 is the arithmetic derivative, A276086 is the primorial base exp-function, and s = bigomega(k). A370128

Positions of records in A096303. A229743

Integers k such that in the list of divisors of k (in base 6), each digit 0-5 appears equally often. A45815

Number of nonisomorphic groupoids with no symmetry. A30245

a(n) = [xⁿ] ( 1 + x·A(x)ⁿ )ⁿ⁺¹ / (n+1) for n>=0, with a(0)=1. A242794