Properties of the Number 30098

Thirty Thousand Ninety-Eight

Basics

Value: 30097 → 30098 → 30099

Parity: even

Prime: No

Previous Prime: 30097

Next Prime: 30103

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 101 × 149

Divisors: 1, 2, 101, 149, 202, 298, 15049, 30098

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010110010010

Octal: 72622

Duodecimal: 15502

Hexadecimal: 7592

Square: 905889604

Square Root: 173.4877517290486

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

a(0)=-2, a(1)=3; thereafter a(n) = 2·a(n-1) + a(n-2). A221172

Numbers k such that A003415(k) >= A276086(k) and gcd(k, A003415(k)) = gcd(k, A276086(k)), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function. A369959

Number of partitions of n which contain their signature as a subpartition. A118052

a(n) = 2·a(n-1) + prime(n) - prime(n-1), a(1)=2, where prime(n) denotes the n-th prime. A125180

Numbers k such that (A276086(k)/s)^s >= k^s-1 and A276086(k) <= A003415(k), where A003415 is the arithmetic derivative, A276086 is the primorial base exp-function, and s = bigomega(k). A370128

Numbers k such that 2·k² + 17 is a square. A144797

Number of partitions of n not containing 2*(number of parts) as a part. A238488

Number of (1+1) X (n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250878

Row sums of A238453. A272079

Numbers k such that 7·10^k + 43 is prime. A274692