Properties of the Number 37185

Thirty-Seven Thousand One Hundred Eighty-Five

Basics

Value: 37184 → 37185 → 37186

Parity: odd

Prime: No

Previous Prime: 37181

Next Prime: 37189

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 37 × 67

Divisors: 1, 3, 5, 15, 37, 67, 111, 185, 201, 335

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000101000001

Octal: 110501

Duodecimal: 19629

Hexadecimal: 9141

Square: 1382724225

Square Root: 192.83412561058793

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) is the concatenation of n and 5n. A19553

Triangle read by rows: T(n,k) = ∑_j=0..k-1 T(n,j) + ∑_j=1..n-k T(n-j,k), with T(0,0)=1 and T(n,k) = 0 for k > n. A59450

Square pyramorphic numbers: integers m such that the sum of the first m squares (A000330) ends in m. A93534

Quotients k*(k+1)*(k+2) / (k+(k+1)+(k+2)) that are lucky numbers. A32792

Number of partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) and 0 < cn(1,5) + cn(4,5) + cn(3,5). A39902

a(n) = a(n-1) + 3·a(n-2) + 3·a(n-3) + a(n-4), where a(0) = a(1) = a(2) = a(3) = 1. A275277

a(-1)=0. a(n)=a(n-1)²-2ⁿ. A168319

Number of ways of placing 2n points on n X n grid so no 3 are in a line (solutions with no symmetry). A37185

a(n) is the smallest number k for which the smallest part of the symmetric representation of σ of k, SRS(k), has size n. If no such number exists, a(n) = -1. A386608