Properties of the Number 15289

Fifteen Thousand Two Hundred Eighty-Nine

Basics

Value: 15288 → 15289 → 15290

Parity: odd

Prime: Yes

Previous Prime: 15287

Next Prime: 15299

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 15289

Divisors: 1, 15289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101110111001

Octal: 35671

Duodecimal: 8A21

Hexadecimal: 3bb9

Square: 233753521

Square Root: 123.64869590901475

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

Chebyshev even-indexed U-polynomials evaluated at sqrt(7)/2. A30221

Rectangular array read by (upward) antidiagonals: A(n,k) = ∑_j=0..k (-1)^floor(j/2)*binomial(k-floor((j+1)/2), floor(j/2))*n^k-j, n >= 1, k >= 0. A294099

Probable primes in A030221. A299109

Primes p for which the period of reciprocal 1/p is (p-1)/12. A56217

Prime number spiral (clockwise, South spoke). A54566

Expansion of ∏_k>=1 1/(1-x^k+6)^k. A263362

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,4,0,2,1 for x=0,1,2,3,4. A196653

Primes that are the first in a run of exactly 3 emirps. A346023

Table of the elementary symmetric functions a_k(1,3,4,...,n+1). A196841

Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10. A119596