Properties of the Number 39204

Thirty-Nine Thousand Two Hundred Four

Basics

Value: 39203 → 39204 → 39205

Parity: even

Prime: No

Previous Prime: 39199

Next Prime: 39209

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 11 ²

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100100100100

Octal: 114444

Duodecimal: 1A830

Hexadecimal: 9924

Square: 1536953616

Square Root: 198

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

Largest square <= n³. A65733

a(n) and floor(a(n)/8) are both squares; i.e., squares that remain squares when written in base 8 and last digit is removed. A55872

Squares which are the arithmetic mean of two consecutive primes. A69495

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = sqrt( ∏_a=1..n ∏_b=1..k (4·sin((2·a-1)*π/(2·n))² + 4·sin((2·b-1)*π/k)²) ). A341533

Nearest integer square to n³. A77118

a(n) = (6·n)². A16910

Square associated with twin primes (p,p+2): p(p+2) + 1. Square of the average of twin primes. A75369

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise. A235421

Expansion of (1 / theta₄(x) - 1)⁹ / 512. A341370

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals downwards: number of perfect matchings in the graph C_2n x C_k. A341741