Properties of the Number 42609

Forty-Two Thousand Six Hundred Nine

Basics

Value: 42608 → 42609 → 42610

Parity: odd

Prime: No

Previous Prime: 42589

Next Prime: 42611

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 2029

Divisors: 1, 3, 7, 21, 2029, 6087, 14203, 42609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011001110001

Octal: 123161

Duodecimal: 207A9

Hexadecimal: a671

Square: 1815526881

Square Root: 206.41947582532032

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

Partial sums of A299268. A299269

Number of integer partitions of n without a nonempty initial consecutive subsequence summing to n/2. A362558

Number of integer partitions of 2n without a nonempty initial consecutive subsequence summing to n. A362051

G.f. satisfies A(x) = 1 + 2·x + x³*A(x)³. A367073

a(n) = A170803(n-1) + 2, with a(0) = 1, a(1) = 2. A170805

Number of (3+1) X (n+1) arrays of permutations of 0..n·4+3 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. A264536

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 0), (1, -1, 0), (1, -1, 1)}. A148649

Denominators of continued fraction convergents to sqrt(833). A42609