Properties of the Number 17332

Seventeen Thousand Three Hundred Thirty-Two

Basics

Value: 17331 → 17332 → 17333

Parity: even

Prime: No

Previous Prime: 17327

Next Prime: 17333

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 619

Divisors: 1, 2, 4, 7, 14, 28, 619, 1238, 2476, 4333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001110110100

Octal: 41664

Duodecimal: A044

Hexadecimal: 43b4

Square: 300398224

Square Root: 131.6510539266587

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), read by rows, given by [0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, ...] δ [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] where δ is the operator defined in A084938. A111146

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,0,1,0 for x=0,1,2,3,4. A197750

O.g.f.: ∑_n>=0 2*(n+2)^n-1 * xⁿ / ∏_k=1..n (1+k·x). A196555

Number of partitions of n into 9 unordered relatively prime parts. A23029

First differences of the dying rabbits sequence A000044. A191869

Number of n X 3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,3,0,1,0 for x=0,1,2,3,4. A197745

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,3,0,1,0 for x=0,1,2,3,4. A197749

Number of (n+5)X9 0..1 matrices with each 6X6 subblock idempotent. A224573

Number of (n+2) X (3+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253505

T(n,k)=Number of (n+5)X(k+5) 0..1 matrices with each 6X6 subblock idempotent. A224577