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Properties of the Number 15297

Fifteen Thousand Two Hundred Ninety-Seven

Basics

Value: 15296 → 15297 → 15298

Parity: odd

Prime: No

Previous Prime: 15289

Next Prime: 15299

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5099

Divisors: 1, 3, 5099, 15297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 11101111000001

Octal: 35701

Duodecimal: 8A29

Hexadecimal: 3bc1

Square: 233998209

Square Root: 123.68104139276966

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

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k. A88753
G.f.: A(x) = exp( ∑n>=1 A069865(n)*xn/n ) where A069865(n) = ∑k=0..n C(n,k)6. A218119
Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k primitive non-Dyck factors (n>=0; 0<=k<=floor((n+1)/3)). A129157
Numbers n with nonzero digits in their decimal representation such that when all numbers formed by inserting the exponentiation symbol between any two digits are added up, the sum is prime. A113762
Total number of parts of multiplicity 5 in all partitions of n. A222705
G.f.: A(x) = 1 + x·A1(x)2; A1(x) = (1+x) + x·A2(x)2; A2(x) = (1+x)2 + x·A3(x)2; ...; An(x) = (1+x)n + x·An+1(x)2 for n>=0 with A(x) = A0(x). A138294
Number of (n+1) X (5+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250726
Numbers k such that one of k, k+1, k+2 is prime and the other two are semiprimes, and one of R(n), R(n+1), R(n+2) is prime and the other two are semiprimes, where R = A004086. A354285
Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 82. A31580
Number of walks within N3 (the first octant of Z3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (-1, 1, 1), (0, 0, 1), (1, 0, -1)}. A148315