Properties of the Number 37984

Thirty-Seven Thousand Nine Hundred Eighty-Four

Basics

Value: 37983 → 37984 → 37985

Parity: even

Prime: No

Previous Prime: 37967

Next Prime: 37987

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 1187

Divisors: 1, 2, 4, 8, 16, 32, 1187, 2374, 4748, 9496

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001010001100000

Octal: 112140

Duodecimal: 19B94

Hexadecimal: 9460

Square: 1442784256

Square Root: 194.89484344127732

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

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no two neighbors equal. A199704

T(n,k)=Number of black-square subarrays of (n+2)X(k+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230935

T(n,k)=Number of white-square subarrays of (n+2)X(k+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230940

Glaisher's function V(n). A2611

Number of black-square subarrays of (n+2) X (4+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230931

Number of black-square subarrays of (n+2)X(6+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230933

G.f. A(x) satisfies A(x - A(x)) = x²/(1 - x²). A380558

Number of partitions of n into parts not of the form 21k, 21k+10 or 21k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 9 are greater than 1. A35988

Number of -2..2 arrays x(0..n-1) of n elements with zero sum and no two neighbors equal. A199698

Number of (6+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250660