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Properties of the Number 16585

Sixteen Thousand Five Hundred Eighty-Five

Basics

Value: 16584 → 16585 → 16586

Parity: odd

Prime: No

Previous Prime: 16573

Next Prime: 16603

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 31 × 107

Divisors: 1, 5, 31, 107, 155, 535, 3317, 16585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 100000011001001

Octal: 40311

Duodecimal: 9721

Hexadecimal: 40c9

Square: 275062225

Square Root: 128.78276282173792

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 nXk binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing. A266428
Consecutive internal states of the linear congruential pseudo-random number generator (281·s + 28411) mod 134456 when started at 1. A383126
G.f. A(x) satisfies: A(x) = 1 + x + x2 + x3*A(x)2. A307970
Triangle read by rows: T(n,k) = number of labeled semigroups of order n with k idempotents. A58166
Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1,1,2}. A80000
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0n and T(n,k) = k * ∑r=0..n binomial(3r+k,r) * binomial(r,n-r)/(3·r+k) for k > 0. A378323
Number of lines through at least 2 points of a 9 X n grid of points. A160849
Number of white square subarrays of (n+1) X (2+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A230983
Number of 4 X n binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing. A266430
Number of (2n+1)-digit undulating alternating palindromic primes. A343677