Properties of the Number 37842

Thirty-Seven Thousand Eight Hundred Forty-Two

Basics

Value: 37841 → 37842 → 37843

Parity: even

Prime: No

Previous Prime: 37831

Next Prime: 37847

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 17 × 53

Divisors: 1, 2, 3, 6, 7, 14, 17, 21, 34, 42

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111010010

Octal: 111722

Duodecimal: 19A96

Hexadecimal: 93d2

Square: 1432016964

Square Root: 194.53020331043712

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

G.f.: 1 / ∏_k>=1 (1-x^k)^k-1. A52847

The number of partitions of n in which at least one part is a multiple of 3. A295341

Number of ways to remove n oranges from an infinite stack of oranges whose m-th layer is an m X m square. A274582

Number of pairs of partitions of n that are successors in reverse lexicographic order, but incomparable in dominance (natural, majorization) ordering. A248475

a(n) = b(n) - c(n) where b(n) = [ (3/2)ⁿ ] and c(n) is the n-th number not in sequence b. A14250

Number of strings of numbers x(i=1..6) in 0..n with sum i²*x(i)² equal to n²*36. A184244

a(n) = ∏_{k=1..A003056(n)} prime(T(n,k)), where T(n,k) = k-th term in row n of A235791. A348475

Fibonacci numbers in base 1. A37842