Properties of the Number 30724

Thirty Thousand Seven Hundred Twenty-Four

Basics

Value: 30723 → 30724 → 30725

Parity: even

Prime: No

Previous Prime: 30713

Next Prime: 30727

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7681

Divisors: 1, 2, 4, 7681, 15362, 30724

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000000100

Octal: 74004

Duodecimal: 15944

Hexadecimal: 7804

Square: 943964176

Square Root: 175.2826289168439

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 positive subset sums of strict integer partitions of n. A284640

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252423

a(n) = ∑_k=0..n 3^k * binomial(n,k) * binomial(n+2,k). A388202

Catafusenes (see reference for precise definition). A45907

Numbers k such that there is a smaller number m > 1 such that k·m equals the concatenation of digit-wise multiplication, keeping the leading digits of k when m has fewer digits. A392568

Denominators of continued fraction convergents to sqrt(373). A41707

The length of Sapro's necklace at successive years in Werneck's Black Pearl Necklace problem. A140261

Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252418

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252421

Integers k such that 3·10^k + 71 is a prime number. A110933