Properties of the Number 38775

Thirty-Eight Thousand Seven Hundred Seventy-Five

Basics

Value: 38774 → 38775 → 38776

Parity: odd

Prime: No

Previous Prime: 38767

Next Prime: 38783

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 11 × 47

Divisors: 1, 3, 5, 11, 15, 25, 33, 47, 55, 75

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001011101110111

Octal: 113567

Duodecimal: 1A533

Hexadecimal: 9777

Square: 1503500625

Square Root: 196.91368667515218

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

Partial sums of A001158: ∑_j=1..n sigma₃(j). A64603

Number of integer partitions of n whose Heinz number (product of primes of parts) is divisible by their sum of primes of parts. A330953

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+3,4). A344204

a(n) = (2·n³ + 5·n² + 7·n)/2. A162264

Square array, read by antidiagonals, where rows are successive self-convolutions of the top row, which equals A003169 shifted one place right. A100324

a(n) is the number of cycles of the permutation that converts forest(n) of depth-first planar planted binary trees into breadth-first representation. A38775