Properties of the Number 6998

Six Thousand Nine Hundred Ninety-Eight

Basics

Value: 6997 → 6998 → 6999

Parity: even

Prime: No

Previous Prime: 6997

Next Prime: 7001

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 3499

Divisors: 1, 2, 3499, 6998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101010110

Octal: 15526

Duodecimal: 4072

Hexadecimal: 1b56

Square: 48972004

Square Root: 83.65404951345751

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

Smallest even number with digit sum n. A69532

Sum of digits = 8 times number of digits. A61425

Number of normal multiset partitions of weight n into sets with a common sum. A382429

Fibonacci sequence beginning 4,9. A22130

Number of orderless tree-partitions of a multiset whose multiplicities are the prime indices of n. A318849

Number of nonnegative solutions to x² + y² + z² <= n². A604

Percolation series for hexagonal lattice. A6803

Numbers n where abs(s(n)) produces a new minimum, with s(1) = 1 and s(i) = s(i-1) - sign(s(i-1))*(1/i). A203812

a(n) = 1 + ∑_k=0..n-3 binomial(n-2,k) * a(k). A344490

a(n) = number of terms in s(n), where s(n) is defined in A096055. A112306