Properties of the Number 37107

Thirty-Seven Thousand One Hundred Seven

Basics

Value: 37106 → 37107 → 37108

Parity: odd

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 19 × 31

Divisors: 1, 3, 7, 9, 19, 21, 31, 57, 63, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000011110011

Octal: 110363

Duodecimal: 19583

Hexadecimal: 90f3

Square: 1376929449

Square Root: 192.63177308014377

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

Smallest number m such that m²+1 is divisible by A002144(n)² (= squares of primes congruent to 1 mod 4). A59321

a(n) = n*(n² + 3)/2. A229183

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order. A222378

Numbers k such that k¹⁰ == 1 (mod 11⁴). A56094

Numerators of continued fraction convergents to sqrt(442). A41840

Numbers k such that σ(k² + 1) == 0 (mod k). A67719

Total height of all symmetrically unique Dyck paths of semilength n. A291886

Numbers k such that sigma₂(k² + 1) == 0 (mod k). A360105

Number of nX3 0..3 arrays with no more than floor(nX3/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order. A222374

Number of (n+1) X (4+1) 0..1 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251124