Properties of the Number 30189

Thirty Thousand One Hundred Eighty-Nine

Basics

Value: 30188 → 30189 → 30190

Parity: odd

Prime: No

Previous Prime: 30187

Next Prime: 30197

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 347

Divisors: 1, 3, 29, 87, 347, 1041, 10063, 30189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010111101101

Octal: 72755

Duodecimal: 15579

Hexadecimal: 75ed

Square: 911375721

Square Root: 173.7498201437918

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) is the smallest odd number that makes a(n)*2^N(n)-1 prime, where N(n) is the n-th Mersenne number that makes 2^N(n)-1 prime. A135434

Products of 3 evil primes (A027699) p,q,r, such that numbers p·q, p·r, q·r, and p·q*r are odious (A000069). A230353

a(0) = 1; a(n) = ∑_{k=0..floor(n/4)} binomial(n-3·k,k) * a(k). A352041

Expansion of η(q)*η(q²)*η(q⁴)*η(q⁸). A30189

G.f. A(x) satisfies: ∏_n=-oo..+oo [1 + (-A(x))ⁿ * (1 - (-A(x))ⁿ)ⁿ] = 2·x. A295131

Number of (n+1)X(3+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise. A235568