Properties of the Number 15217

Fifteen Thousand Two Hundred Seventeen

Basics

Value: 15216 → 15217 → 15218

Parity: odd

Prime: Yes

Previous Prime: 15199

Next Prime: 15227

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 15217

Divisors: 1, 15217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101101110001

Octal: 35561

Duodecimal: 8981

Hexadecimal: 3b71

Square: 231557089

Square Root: 123.35720489699821

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 form n² + 14641. A256839

Square array A(1,k) = A265905(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265905 read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A275950

Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero. A88291

a(1) = 1; for n > 1, a(n) = a(n-1) + A153880(a(n-1)). A265905

Number of terms in n-th derivative of a function composed with itself 6 times. A22814

Numbers that cannot be written as a difference of 11-smooth numbers. A326319

Matrix 6th power of partition triangle A008284. A50300

Primes p, with index k, such that p-k and p+k are both prime. A143794

a(n) = ∑_k=0..n binomial(n,k)*(4·k)!*(2·k)!/(k!)⁶. A381163

Primes that remain prime through 3 iterations of function f(x) = 5x + 6. A23285