Properties of the Number 37300

Thirty-Seven Thousand Three Hundred

Basics

Value: 37299 → 37300 → 37301

Parity: even

Prime: No

Previous Prime: 37277

Next Prime: 37307

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 ² × 373

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 373

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110110100

Octal: 110664

Duodecimal: 19704

Hexadecimal: 91b4

Square: 1391290000

Square Root: 193.13207915827965

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

T(n,k) = number of permutations of {1..n} with fewer than k interior elements having values lying between the values of their neighbors. A226441

Number of edges among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4·n points placed on the sides of a square when every pair of the 4 + 4·n points are connected by a circle and where the points lie at the ends of the circle's diameter. A373108

a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5). A26046

Discriminants of totally real cubic fields with 2 associated nonconjugate fields. A329786

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₈)² <= n. A341403

Expansion of 1/(1-x³-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰-x¹¹-x¹²-x¹³). A17826

Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero. A188250

Number of 4 X n 0..1 arrays avoiding 0 0 1 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically. A207255

Number of permutations of {1..n} with fewer than 4 interior elements having values lying between the values of their neighbors. A226437

Values of n such that prime(n) does not divide any 10-digit pandigital number (i.e. any value in A050278). A292703