Properties of the Number 19629

Nineteen Thousand Six Hundred Twenty-Nine

Basics

Value: 19628 → 19629 → 19630

Parity: odd

Prime: No

Previous Prime: 19609

Next Prime: 19661

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 727

Divisors: 1, 3, 9, 27, 727, 2181, 6543, 19629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110010101101

Octal: 46255

Duodecimal: B439

Hexadecimal: 4cad

Square: 385297641

Square Root: 140.10353314602742

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7. A252407

Numbers k such that k² contains exactly 9 different digits. A54037

Numbers whose square is a zeroless pandigital number (i.e., use the digits 1 through 9 once). A71519

Chebyshev polynomials S(n,27) with Diophantine property. A97781

a(n) = n³ - 2·n. A242135

Pseudo-random numbers: Davenport's generator for 32-bit integers. A84277

Triangle, read by rows, where g.f. of row n equals the product of (1-x)ⁿ and the g.f. of the coordination sequence for root lattice B_n, for n >= 0. A109001

Number of unlabeled rooted trees with n nodes where the outdegrees (branching factors) of adjacent nodes differ by at most one. A260403

Numbers k such that any two consecutive decimal digits of k² differ by 1 after arranging the digits in decreasing order. A370362

Denominators of continued fraction convergents to sqrt(725). A42397