Properties of the Number 30249

Thirty Thousand Two Hundred Forty-Nine

Basics

Value: 30248 → 30249 → 30250

Parity: odd

Prime: No

Previous Prime: 30241

Next Prime: 30253

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3361

Divisors: 1, 3, 9, 3361, 10083, 30249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011000101001

Octal: 73051

Duodecimal: 15609

Hexadecimal: 7629

Square: 915002001

Square Root: 173.92239648762893

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

Numbers n such that the arithmetic derivative of A276086(n) is prime. A328233

Expansion of exp( ∑_n>=1 -σ(9·n)*xⁿ/n ) in powers of x. A283169

Numbers obtained by reinterpreting base-2 representation of odd numbers in primorial base. A328462

Odd numbers k, not powers of primes, such that σ(k) == 2 modulo 8 and σ(σ(k)) == 6 modulo 8. A332458

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

Numbers k such that A003415(k) >= A276086(k) and gcd(k, A003415(k)) = gcd(k, A276086(k)) > 1, where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function. A369960

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

Expansion of (1/x) * Series_Reversion( x / ((1+x)² * C(x)) ), where C(x) is the g.f. of A000108. A381881

Numbers n such that 7ⁿ - 6ⁿ⁺¹ is prime. A273937

Triangle T, read by rows, such that the matrix cube shifts T one place diagonally left and upward, with T(n, 0) = T(n, n) = 1 for n>=0. A96744