Properties of the Number 30013

Thirty Thousand Thirteen

Basics

Value: 30012 → 30013 → 30014

Parity: odd

Prime: Yes

Previous Prime: 30011

Next Prime: 30029

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 30013

Divisors: 1, 30013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010100111101

Octal: 72475

Duodecimal: 15451

Hexadecimal: 753d

Square: 900780169

Square Root: 173.24260445975753

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

Primes of the form j² + (j+1)². A27862

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..2 nXk array. A217964

Primes having only {0, 1, 3} as digits. A260044

Third row of Pascal-(1,5,1) array A081580. A81589

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253524

Smallest prime divisor of (n-th primorial - (n+1)-st prime). A65314

a(n) = n-th primorial (A002110) minus next prime. A60882

Largest prime divisor of n-th primorial - (n+1)-st prime. A65316

Where records occur in A117831. A118474

Number of n X 1 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 n X 1 array. A217450