Properties of the Number 42637

Forty-Two Thousand Six Hundred Thirty-Seven

Basics

Value: 42636 → 42637 → 42638

Parity: odd

Prime: No

Previous Prime: 42611

Next Prime: 42641

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 6091

Divisors: 1, 7, 6091, 42637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011010001101

Octal: 123215

Duodecimal: 20811

Hexadecimal: a68d

Square: 1817913769

Square Root: 206.48728774430643

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 series-reduced rooted trees whose leaves are constant integer partitions whose multiset union is an integer partition of n. A320174

a(n) = n³ - 7·n + 7. A106734

Numbers n such that n⁵ and a cube are between consecutive squares. A173341

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>2n. A211644

The number of distinct positions on an infinite chessboard reachable by the (3,4)-leaper in <= n moves. A297741

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 363", based on the 5-celled von Neumann neighborhood. A268154

Arithmetic mean of primes on square intervals such that the mean is an integer. A161348

Denominators of continued fraction convergents to sqrt(848). A42637

a(n) is the number of positive integer solutions of n·x*y·z*v·w = (x + n) * (y + n) * (z + n) * (v + n) * (w + n), x <= y <= z <= v <= w. A381644

Factors k > 2 such that the polynomial x² + k·x + 1 produces a new minimum of its Hardy-Littlewood constant. A332707