Properties of the Number 37065

Thirty-Seven Thousand Sixty-Five

Basics

Value: 37064 → 37065 → 37066

Parity: odd

Prime: No

Previous Prime: 37061

Next Prime: 37087

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 353

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 353, 1059

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011001001

Octal: 110311

Duodecimal: 19549

Hexadecimal: 90c9

Square: 1373814225

Square Root: 192.52272593125207

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) = n*(n² + 1)/2. A6003

Irregular triangle read by rows where T(n,k) is the number of simple graphs covering n vertices with exactly k triangles, 0 <= k <= binomial(n,3). A372167

Numbers k such that N = k⁶ is a twin rank (cf. A002822: 6N +- 1 are twin primes). A326236

a(n) = (n - 1)*(4·n² - 8·n + 5). A317297

Row sums of the triangular array A246696. A246697

Number of periodic palindromes using exactly three different symbols. A56489

The triangle T₂(n, m), where T₂(n, m) is the number of surjective multi-valued functions from {1, 1, 2, 3, ..., n-1} to {1, 2, 3, ..., m} by rows (n >= 1, 1 <= m <= n). A172106

Number of edges formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions equal the Farey series of order n. A359970

Odd numbers with exactly 4 distinct palindromic prime factors. A46406

Number of length n binary palindromic words which are not all zero in which 1's occur in blocks of at least 4. A386709