Properties of the Number 37661

Thirty-Seven Thousand Six Hundred Sixty-One

Basics

Value: 37660 → 37661 → 37662

Parity: odd

Prime: No

Previous Prime: 37657

Next Prime: 37663

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13 × 2897

Divisors: 1, 13, 2897, 37661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001100011101

Octal: 111435

Duodecimal: 19965

Hexadecimal: 931d

Square: 1418350921

Square Root: 194.06442229321684

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 9's in all partitions of n. A24793

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,4,0,2,1 for x=0,1,2,3,4. A196653

Triangle read by rows: T(n,k) is the number of length n words over an n-ary alphabet such that the maximal cardinality of C is k, where C is a subset of the alphabet such that all letters in C appear in weakly increasing order within the word. A387336

Numbers k such that the continued fraction for sqrt(k) has period 71. A20410

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 23. A51988

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,4,0,2,1 for x=0,1,2,3,4. A196649

Number of n X 7 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,4,0,2,1 for x=0,1,2,3,4. A196652

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 1, -1), (1, 0, -1), (1, 1, 0)}. A148685

Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, a(n) XOR a(n+1) is a cube (where XOR denotes the XOR binary operator). A296615

Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0. A37661