Properties of the Number 9808

Nine Thousand Eight Hundred Eight

Basics

Value: 9807 → 9808 → 9809

Parity: even

Prime: No

Previous Prime: 9803

Next Prime: 9811

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 613

Divisors: 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001010000

Octal: 23120

Duodecimal: 5814

Hexadecimal: 2650

Square: 96196864

Square Root: 99.03534722511958

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

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (4,n)-rectangular grid with k '1's and (4n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225812

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (5,n)-rectangular grid with k '1's and (5n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228022

Expansion of e.g.f. 1/(1+2·log(1-x)). A88500

Number of integer partitions of n such that, for all parts x, x - 1 or x + 1 is also a part. A355394

T(n,k)=Number of nXk 0..n+k-2 arrays with upper left zero and lower right n+k-2 and each element differing from its horizontal and antidiagonal neighbors by one or two. A265466

T(n,k)=Number of nXk 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal. A223644

Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = ∑_j=0..k StirlingS1(n, n-j)*binomial(n,j) + ∑_j=0..n-k StirlingS1(n, n-j)*binomial(n, j), read by rows. A176155

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 + k·log(1 - x)). A320079

Number of maximal subsets of {1..n} containing no quotients of pairs of distinct elements. A326492

Natural numbers written out with their digits grouped in sets of four (leading zeros omitted). A91332