Properties of the Number 30267

Thirty Thousand Two Hundred Sixty-Seven

Basics

Value: 30266 → 30267 → 30268

Parity: odd

Prime: No

Previous Prime: 30259

Next Prime: 30269

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 19 × 59

Divisors: 1, 3, 9, 19, 27, 57, 59, 171, 177, 513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011000111011

Octal: 73073

Duodecimal: 15623

Hexadecimal: 763b

Square: 916091289

Square Root: 173.97413600877573

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 of n into squarefree parts. A73576

Expansion of ∏_k>=1 1/(1 - x^k * (1 - x)). A306749

G.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (1 + xⁿ)ⁿ. A326003

a(n) = 1·prime(n) + 2·prime(n-1) + ... + k·prime(n+1-k), where k=floor((n+1)/2) and prime(n) is the n-th prime. A23870

Denominators of continued fraction convergents to sqrt(581). A42113

Numbers k such that sopf(k) = sopfr(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k). A64678

45-gonal numbers: n*(43·n-41)/2. A98924

Inverse Mobius transformation of A034714. A360429

Expansion of 1/((1 - x + x³)² + 4·x⁴). A375288

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (primes). A24867