Properties of the Number 9968

Nine Thousand Nine Hundred Sixty-Eight

Basics

Value: 9967 → 9968 → 9969

Parity: even

Prime: No

Previous Prime: 9967

Next Prime: 9973

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 7 × 89

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 89

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011110000

Octal: 23360

Duodecimal: 5928

Hexadecimal: 26f0

Square: 99361024

Square Root: 99.83987179478947

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

Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p). A282727

Number of 6-line partitions of n (i.e., planar partitions of n with at most 6 lines). A225196

T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2. A229565

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·6^j}). A373220

Numbers k that have at least two different representations as the product of a number and of its decimal digits. A336944

n-th positive integer whose digits sum up to n. A81927

a(n) is the number k such that 2^2k+1-1 = A000668(n+1). A146768

n-th zerofree positive number with digital sum n. A181178

Numbers k such that k + (sum of digits of k) is a power of 10. A232489

Define b by b(1) = 1 and for n > 1, b(n) = b(n-1) + 1/(2 + 1/b(n-1)); sequence gives numerator of b(n). A80984