Properties of the Number 37965

Thirty-Seven Thousand Nine Hundred Sixty-Five

Basics

Value: 37964 → 37965 → 37966

Parity: odd

Prime: No

Previous Prime: 37963

Next Prime: 37967

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 2531

Divisors: 1, 3, 5, 15, 2531, 7593, 12655, 37965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001010001001101

Octal: 112115

Duodecimal: 19B79

Hexadecimal: 944d

Square: 1441341225

Square Root: 194.84609310940778

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 n-step self-avoiding walks on the upper 4 octants of the cubic grid starting at origin. A116904

Numbers k such that the first 9 decimal digits of the k-th Fibonacci number is 1-9 pandigital. A112516

Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the center of the tube's side. A337401

Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined between two infinite planes a distance w apart where the walk starts on one of the planes. A338126

Number of ways to get ten-pin bowling score of 300-n. A79596

Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined between two infinite horizontal planes a distance 2w apart and an orthogonal plane on the y-z axes, where the walk starts at the middle point between the planes on the y-z plane. A338127

a(n) = n·binomial(2·n-2, n-1). A37965

Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h·2h·2h where the walk starts at the center of one of the box's faces. A337031

Number of n X 4 0..1 arrays with every element unequal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A304152