Properties of the Number 1659

One Thousand Six Hundred Fifty-Nine

Basics

Value: 1658 → 1659 → 1660

Parity: odd

Prime: No

Previous Prime: 1657

Next Prime: 1663

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 79

Divisors: 1, 3, 7, 21, 79, 237, 553, 1659

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111011

Octal: 3173

Duodecimal: B63

Hexadecimal: 67b

Square: 2752281

Square Root: 40.7308237088326

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 (w,x,y,z) with all terms in {1,...,n} and w·x < 2·y*z. A211795

Number of elements in the set {(x,y): 1 <= x,y <= n, gcd(x,y)=1}. A18805

Partial sums of A008137. A299276

Number of partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026

Number of distinct values taken by 3³^...³ (with n 3's and parentheses inserted in all possible ways). A3018

Number of vertices in a regular drawing of the complete bipartite graph K_n,n. A331755

Denominators of cosecant numbers: -2*(2^2·n-1-1)*Bernoulli(2·n). A1897

Triangle read by rows: T(n,k) = number of vertices in a "frame" of size n X k (see Comments in A331457 for definition). A332599

Number of integer partitions of n whose median appears more times than any other part, i.e., partitions containing a unique mode equal to the median. A363740

Number of integer partitions of n with a neighborless part. A356236