Properties of the Number 39690

Thirty-Nine Thousand Six Hundred Ninety

Basics

Value: 39689 → 39690 → 39691

Parity: even

Prime: No

Previous Prime: 39679

Next Prime: 39703

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 5 × 7 ²

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101100001010

Octal: 115412

Duodecimal: 1AB76

Hexadecimal: 9b0a

Square: 1575296100

Square Root: 199.2234925906079

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 length n+3 0..k arrays with no pair in any consecutive four terms totalling exactly k. A246479

a(n) = (4·n³ + n² - 3·n)/2. A172073

Triangle read by rows: T(n,k) is the number of trees with n leaves of exactly k colors and all non-leaf nodes having degree 3. A339650

Triangle read by rows: Take a hexagon with all diagonals drawn, as in A331931. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+4. A331932

Numbers > 1 whose greatest prime index (A061395), number of distinct prime factors (A001221), and greatest prime multiplicity (A051903) are all equal. A381543

The Wiener index of the ortho-polyphenyl chain with n hexagons (see the Dou et al. and the Deng references). A216108

a(n) = 9·a(n-1) - 9·a(n-2) + a(n-3); given a(1) = 1, a(2) = 10, a(3) = 81. A95004

Diagonal of rational function 1/(1 - (x² + y² + z² + x³*y·z)). A361738

Reduced denominators of series expansion for integrand in Renyi's parking constant. A50995

G.f.: exp( ∑_n>=1 A055457(n) * 5^A055457(n) * xⁿ/n ) where 5^A055457(n) exactly divides 5·n. A195761