Properties of the Number 38130

Thirty-Eight Thousand One Hundred Thirty

Basics

Value: 38129 → 38130 → 38131

Parity: even

Prime: No

Previous Prime: 38119

Next Prime: 38149

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 31 × 41

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 31, 41

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010011110010

Octal: 112362

Duodecimal: 1A096

Hexadecimal: 94f2

Square: 1453896900

Square Root: 195.2690451658941

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

Numbers k such that ω(k) = 5 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383729

Numbers n such that sum of distinct primes dividing n is divisible by the largest prime dividing n. Also n is neither a prime, nor a true power of prime and n is squarefree. Squarefree solutions of A071140. A71141

Edge-rooted tree-like octagonal systems (see the Cyvin et al. reference for precise definition). A121113

Number of 6-cycles in the n-triangular honeycomb queen graph. A289707

Squarefree numbers k such that the largest prime factor of k is equal to the sum of the other prime factors of k. A71312

Numbers k such that k*(k+1)-1 and k*(k+1)+1 are twin primes and k*(k+3)-1 and k*(k+3)+1 are also twin primes. A138303

Total sum of the hook lengths over all partitions of 2n-1 having exactly n parts. A301499

Numbers n such that sum of distinct primes dividing n is divisible by the largest prime dividing n. Also n has exactly 5 distinct prime factors and n is squarefree. A71144

Generating function f(x)=(x+(x+(x+(x+(x+...)⁵)⁴)³)²)¹ is the limit as n->infinity of (f₁(x)=x, f₂(x)=x+x², f₃(x)=x+(x+x³)², f₄(x)=x+(x+(x+x⁴)³)², ...). A276436

G.f.: Re(1/(1 + i·x/(1 + i·x²/(1 + i·x³/(1 + i·x⁴/(1 + i·x⁵/(1 + ...))))))), a continued fraction, where i is the imaginary unit. A293268