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Properties of the Number 9585

Nine Thousand Five Hundred Eighty-Five

Basics

Value: 9584 → 9585 → 9586

Parity: odd

Prime: No

Previous Prime: 9551

Next Prime: 9587

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 3 × 5 × 71

Divisors: 1, 3, 5, 9, 15, 27, 45, 71, 135, 213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010101110001

Octal: 22561

Duodecimal: 5669

Hexadecimal: 2571

Square: 91872225

Square Root: 97.90301323248433

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 primes less than 10n with initial digit 1. A73517
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250755
Number of odd p-trees of weight n (all proper terminal subtrees have odd weight). A300436
Expansion of A(x) = [ ∑n>=0 2n*(n-1/2) * (1 + 22·n+1)/3·xn*(n+1/2) ]1/3. A370016
Triangle read by rows: T(n, k) is the number of ways to select k disjoint point triples from an n X n X n triangular point grid, each point triple forming a 2 X 2 X 2 triangle. A289222
Number of ways to select 4 disjoint point triples from an n X n X n triangular point grid, each point triple forming a 2 X 2 X 2 triangle. A289225
Number of 2-element intersecting families whose union is an n-element set. A53152
Pairs of deficient numbers having the same value of σ(k)/k in the order that they are found. A211680
Numbers k such that gcd(k, reverse(k)) = 27 = 33, where reverse(x) = A004086(x). A72016
Triangle read by rows: T(n,k) = number of heapable permutations of length n with exactly k decreasing runs. A389255