Properties of the Number 37265

Thirty-Seven Thousand Two Hundred Sixty-Five

Basics

Value: 37264 → 37265 → 37266

Parity: odd

Prime: No

Previous Prime: 37253

Next Prime: 37273

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 29 × 257

Divisors: 1, 5, 29, 145, 257, 1285, 7453, 37265

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001000110010001

Octal: 110621

Duodecimal: 19695

Hexadecimal: 9191

Square: 1388680225

Square Root: 193.04144632694815

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

Expansion of (-1 + ∏_k>=1 1 / (1 - x^k))⁵. A341223

a(n) = n⁴/2 - n³ + 3·n²/2 - n + 1 = (n² + 1)*(n² - 2·n + 2)/2. A58919

a(n+1) = ∑_{k=0..floor(n/3)} a(k) * a(n-k). A30032

Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k platforms (i.e., UHD, UHHD, UHHHD, ..., where U=(1,1), D=(1,-1), H=(2,0)). A104546

Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 3 and repeat; as m = 1,2,3,.. the remaining terms form this sequence. A112561

a(n) = 32·n² - 56·n + 25. A272129

Expansion of x*(1 + x² + x⁴)/(1 - x - x³ - x⁵ - x⁷). A117761

Number of 0..n arrays x(0..5) of 6 elements with zero 4th differences. A200084

Centered square numbers which are sphenic numbers. A380882

Integers arising from A037264. A37265