Properties of the Number 30033

Thirty Thousand Thirty-Three

Basics

Value: 30032 → 30033 → 30034

Parity: odd

Prime: No

Previous Prime: 30029

Next Prime: 30047

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 47 × 71

Divisors: 1, 3, 9, 47, 71, 141, 213, 423, 639, 3337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010101010001

Octal: 72521

Duodecimal: 15469

Hexadecimal: 7551

Square: 901981089

Square Root: 173.30031736843415

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) = A276156(n) / A002110(A007814(n)). A328461

Numbers whose decimal expansion contains only 0's and 3's. A169966

Numbers that are sums of distinct primorial numbers, A002110, and do not have a factor of the form p^p. A328832

Number of partitions p of n not including floor(mean(p)) as a part. A241335

Numbers obtained by reinterpreting base-2 representation of odd numbers in primorial base. A328462

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 A003415(k) >= A276086(k) and gcd(k, A003415(k)) = gcd(k, A276086(k)) > 1, where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function. A369960

Numbers k such that (A276086(k)/s)^s < k^s-1, where A276086 is the primorial base exp-function, and s = bigomega(k). A370127

Expansion of ∏_k>=0 (1-x^3·k+2)^3·k+2. A285212

Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a primorial number (A002110). A353980