Properties of the Number 42129

Forty-Two Thousand One Hundred Twenty-Nine

Basics

Value: 42128 → 42129 → 42130

Parity: odd

Prime: No

Previous Prime: 42101

Next Prime: 42131

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 151

Divisors: 1, 3, 9, 31, 93, 151, 279, 453, 1359, 4681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010010010001

Octal: 122221

Duodecimal: 20469

Hexadecimal: a491

Square: 1774852641

Square Root: 205.25350179716787

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

Number of rooted identity trees with 3-colored nodes. A38079

Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316688

Triangle read by rows. Denominators of the coefficients of a sequence of rational polynomials r_n(x) with r_n(1) = B(2·n), where B(n) are the Bernoulli numbers. A356653

Denominators of continued fraction convergents to sqrt(589). A42129

Primes that remain prime through 5 iterations of function f(x) = 8x + 9. A23351

Number of (n+1) X 7 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases. A205821

Number of (n+1)X(2+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250685

Number of (n+1) X (3+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250686

Number of (n+1)X(4+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250687

Number of (n+1)X(5+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250688