Properties of the Number 37245

Thirty-Seven Thousand Two Hundred Forty-Five

Basics

Value: 37244 → 37245 → 37246

Parity: odd

Prime: No

Previous Prime: 37243

Next Prime: 37253

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 13 × 191

Divisors: 1, 3, 5, 13, 15, 39, 65, 191, 195, 573

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000101111101

Octal: 110575

Duodecimal: 19679

Hexadecimal: 917d

Square: 1387190025

Square Root: 192.98963702748395

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

Number of partitions p of n such that mean(p) < multiplicity(min(p)). A240203

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) <= number of distinct parts of p. A241824

a(n) is the largest area of a rectangle which can be dissected into n squares with integer sides s_i, i = 1 .. n, and gcd(s₁,...,s_n) = 1. A338861

Quasi-Carmichael numbers to base -3: squarefree composites n such that for every prime p that divides n, p+3 divides n+3. A29563

Lenny Conundrum #168: Neopet species in alphabetical order, converted to digits by the phone keypad code. A119568

Quintisection A061037(5·n-2). A174850

G.f.: Im(1/(1 + i·x/(1 + i·x²/(1 + i·x³/(1 + i·x⁴/(1 + i·x⁵/(1 + ...))))))), a continued fraction, where i is the imaginary unit. A293269

Places k where the infinitary φ-function A064380(k) divides the infinitary σ-function A049417(k). A187033

Number of unrooted self-avoiding walks of n steps on square lattice. A37245