Properties of the Number 37037

Thirty-Seven Thousand Thirty-Seven

Basics

Value: 37036 → 37037 → 37038

Parity: odd

Prime: No

Previous Prime: 37021

Next Prime: 37039

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 11 × 13 × 37

Divisors: 1, 7, 11, 13, 37, 77, 91, 143, 259, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1001000010101101

Octal: 110255

Duodecimal: 19525

Hexadecimal: 90ad

Square: 1371739369

Square Root: 192.44999350480634

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) = floor(10⁶/n). A33426

Minimum number k for which the digital sum of k·n is 2·n. A147822

Divisors of 111111. A109492

a(n) = (3·n + 4)*Pochhammer(n, 4) / 4!. A293475

a(n) = 100·n² - 151·n + 57. A157626

Position of first appearance of 2n in the run-compression (A037201) of the first differences (A001223) of the prime numbers (A000040). A376520

Floor((11n+1/n)ⁿ). A197600

Number of tilings of a 9 X n rectangle using integer-sided square tiles of area > 1. A226373

Table (read by rows) of the natural numbers (in ascending order) whose reciprocals have only periodic decimals of length k. A226477

a(n) is the smallest number such that there are exactly n numbers k (including a(n) itself) such that U(k) is isomorphic to U(a(n)) (or 0 if no such number exists). Here U(k) is the multiplicative group of integers modulo k. A303712