Properties of the Number 30493

Thirty Thousand Four Hundred Ninety-Three

Basics

Value: 30492 → 30493 → 30494

Parity: odd

Prime: Yes

Previous Prime: 30491

Next Prime: 30497

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 30493

Divisors: 1, 30493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011100011101

Octal: 73435

Duodecimal: 15791

Hexadecimal: 771d

Square: 929823049

Square Root: 174.62244987400675

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 binary codes of length 10 with n words. A34195

Number of integer compositions of n in which the least part appears more than once. A363224

Values of m in the discriminant D = -4·m leading to a new minimum of the L-function of the Dirichlet series L(1) = ∑_k>=1 Kronecker(D,k)/k. A3521

Greatest number having exactly n representations as ab+ac+bc with 0 < a < b < c. A94377

Greatest number having exactly n representations as ab+ac+bc with 1 <= a <= b <= c. A94380

Primes p such that x¹¹ = 2 has a solution mod p, but x^11² = 2 has no solution mod p. A70187

a(n) = 28·n² + 1. A158556

Primes of the form 7n² + 1. A201602

Let p_4,1(m) be the m-th prime == 1 (mod 4). Then a(n) is the smallest p_4,1(m) such that the interval(p_4,1(m)*n, p_4,1(m+1)*n) contains exactly one prime == 1 (mod 4). A210475

Primes p such that p + 2², p + 4² and p + 6² are also primes. A92475