Properties of the Number 66744

Sixty-Six Thousand Seven Hundred Forty-Four

Basics

Value: 66743 → 66744 → 66745

Parity: even

Prime: No

Previous Prime: 66739

Next Prime: 66749

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁴ × 103

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000010010111000

Octal: 202270

Duodecimal: 32760

Hexadecimal: 104b8

Square: 4454761536

Square Root: 258.3486016993318

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 T(n,k) of rencontres numbers (number of permutations of n elements with k fixed points). A8290

Triangle read by rows: T(n,k) = number of partial derangements, that is, the number of permutations of n distinct, ordered items in which exactly k of the items are in their natural ordered positions, for n >= 0, k = n, n-1, ..., 1, 0. A98825

Rencontres numbers: number of permutations of [n] with exactly two fixed points. A387

Triangle of rencontres numbers. A8291

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal. A232589

Triangle read by rows: T(n,k) is the number of odd permutations (of an n-set) with exactly k fixed points. A145225

Number of derangements on n elements with an even number of cycles. A216778

Numbers k such that k and k+1 are both terms in A377209. A377271

Triangle T(n,k) for the number of permutations in symmetric group S_n with (n-k) fixed points and an even number of non-fixed point cycles. Equivalent to the number of cycles of n items with cycle type defined by non-unity partitions of k<=n that contain an even number of parts. A373417

Number of (3+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal. A232592