Properties of the Number 37155

Thirty-Seven Thousand One Hundred Fifty-Five

Basics

Value: 37154 → 37155 → 37156

Parity: odd

Prime: No

Previous Prime: 37139

Next Prime: 37159

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 2477

Divisors: 1, 3, 5, 15, 2477, 7431, 12385, 37155

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100100011

Octal: 110443

Duodecimal: 19603

Hexadecimal: 9123

Square: 1380494025

Square Root: 192.75632285349292

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

a(n)=a(n-1)+a(m), where m=2n-2-2^p+1 and 2^p<n-1<=2^p+1, for n >= 4. A50059

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction. A221852

Number of n-node rooted trees in which three equals the maximal number of nodes in paths starting at a leaf and ending at the first branching node or at the root. A318899

Number of 2 X n arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction. A221853

a(n) = n!-p, where p is the largest prime < (n!-1). A37155