Properties of the Number 30046

Thirty Thousand Forty-Six

Basics

Value: 30045 → 30046 → 30047

Parity: even

Prime: No

Previous Prime: 30029

Next Prime: 30047

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 83 × 181

Divisors: 1, 2, 83, 166, 181, 362, 15023, 30046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010101011110

Octal: 72536

Duodecimal: 1547A

Hexadecimal: 755e

Square: 902762116

Square Root: 173.33782045474092

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

4·P₅(n), 4 times the Legendre Polynomial of order 5 at n. A160737

Expansion of ∏_k>=1 (1/(1 - 2·x^k))^k. A261561

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 that divide the sum of the first k composite numbers. A53781

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

a(0)=a(1)=1. For n >= 2, if a(n-1) is coprime to n, then a(n) = a(n-1) + a(n-2). Otherwise, a(n)=1. A139047

Numbers k such that the first 9 digits of the k-th Lucas number are 1-9 pandigital. A216489

Irregular triangular array T(n,k) of consecutive composites. A226085

Number of permutations p of [n] such that | |p(i) - p(i-1)| - |p(i+1) - p(i)| | = 1. A338766

Low temperature series for spin-1/2 Ising magnetic susceptibility on 4D simple cubic lattice (divided by 4). A30046