Properties of the Number 38675

Thirty-Eight Thousand Six Hundred Seventy-Five

Basics

Value: 38674 → 38675 → 38676

Parity: odd

Prime: No

Previous Prime: 38671

Next Prime: 38677

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 7 × 13 × 17

Divisors: 1, 5, 7, 13, 17, 25, 35, 65, 85, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001011100010011

Octal: 113423

Duodecimal: 1A46B

Hexadecimal: 9713

Square: 1495755625

Square Root: 196.65960439297135

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

Least k with precisely n partitions k = x + y satisfying σ(k) = σ(x) + σ(y). A211224

Numbers that are the sum of six fourth powers in exactly five ways. A345817

a(n) = n*(n + 11)*(n + 22)*(n + 33)/24. A264448

G.f. A(x) satisfies: A(x) = 1 / ((1 + x) * (1 - x·A(x)⁷)). A349303

a(n) = 7·A000330(n). A169607

Numbers n such that n and n+1 both have 24 divisors. A274362

Occurrences of decrease of the probability density P(n) of coprime numbers k,m, satisfying 1 <= k <= a(n) and 1 <= m <= a(n), and a(n) congruent to 1 (mod 2) and a(n) not congruent to 3 (mod 6). A280879

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-2,0,1,2}. A79981

Expansion of (1 - 2·x²)/(1 + x)⁵. Fourth column of Riordan triangle A248156. A248160

a(n) = (∏_i=0..4(i·n+2) - ∏_i=0..4(-i·n-1))/(4·n+3). A274119