Properties of the Number 39420

Thirty-Nine Thousand Four Hundred Twenty

Basics

Value: 39419 → 39420 → 39421

Parity: even

Prime: No

Previous Prime: 39419

Next Prime: 39439

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 73

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100111111100

Octal: 114774

Duodecimal: 1A990

Hexadecimal: 99fc

Square: 1553936400

Square Root: 198.54470529329157

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

Triangle read by rows: number of permutations of 1..n by length of longest run. A10026

Triangle read by rows: number of permutations of 1..n by length l of longest run (n >= 1, 1 <= l <= n). A211318

a(n) = 4·n*(floor(n²/2)+1). For n >= 3, this is the number of directed Hamiltonian paths on the n-prism graph. A124350

Indices of primes of the form 2^t*3^u + 1 in the primes. A174099

Number of permutations of order n with the length of longest run equal 6. A230129

Denominators of continued fraction convergents to sqrt(731). A42407

Exponential (2,4)-perfect numbers: numbers m such that esigma(esigma(m)) = 4m, where esigma(m) is the sum of exponential divisors of m (A051377). A328133

Triangle read by rows: T(n,k) is the number of permutations of {1,...,n} whose longest embedded arithmetic progression has length k. A339941

Sums of squares of primitive roots of primes. A89453

The number of iterations of the map x -> A033880(x) starting at n until the a nonpositive number is reached, or 0 if this does not happen. A371921