Properties of the Number 13098

Thirteen Thousand Ninety-Eight

Basics

Value: 13097 → 13098 → 13099

Parity: even

Prime: No

Previous Prime: 13093

Next Prime: 13099

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 37 × 59

Divisors: 1, 2, 3, 6, 37, 59, 74, 111, 118, 177

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11001100101010

Octal: 31452

Duodecimal: 76B6

Hexadecimal: 332a

Square: 171557604

Square Root: 114.44649404852908

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 compositions of n in which the largest part is equal to the number of parts. A98124

T(n,k)=Half the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having two or four distinct clockwise edge differences. A209913

5-untouchable numbers. A284187

G.f. A(x) satisfies: A(x) = A(x³ - x⁵)/x². A350479

a(n) = n·prime(prime(n)) - prime(n)². A230098

Irregular triangle read by rows: T(n,k) (n>=2, 1<=k<=n) gives number of arrangements of the elements from the multiset M(n, 3) into exactly k disjoint cycles. A245183

Smallest k not a palindrome and not divisible by 10 such that k and R(k) (A004086) both are divisible by the n-th prime. A75605

Number of 3-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. A187298

Half the number of (n+1)X3 0..3 arrays with every 2X2 subblock having two or four distinct clockwise edge differences. A209907

Numbers such that Liouville's function (A002819) and the little ω analog to Liouville's function (A174863) are equal. A224987