Properties of the Number 15246

Fifteen Thousand Two Hundred Forty-Six

Basics

Value: 15245 → 15246 → 15247

Parity: even

Prime: No

Previous Prime: 15241

Next Prime: 15259

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 11 ²

Divisors: 1, 2, 3, 6, 7, 9, 11, 14, 18, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11101110001110

Octal: 35616

Duodecimal: 89A6

Hexadecimal: 3b8e

Square: 232440516

Square Root: 123.47469376354006

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

a(n) = 14·n². A144555

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250691

Neither the unsorted prime signature of a(n) nor the negated unsorted prime signature of a(n) is unimodal. A332643

a(n) = ∏_d∣n A019565(d)^[moebius(n/d) = -1]. A300832

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2. A214023

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 2. A241647

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 3. A251955

a(n) = ∏_d∣n A019565(d)^A010051(n/d). A329352

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + n, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294552

G.f.: A(x,y) = ∑_n>=0 xⁿ * ((1+x)ⁿ + y)ⁿ, where A(0) = 0, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y) = ∑_n>=0 xⁿ * ∑_k=0..n T(n,k)*xⁿ*y^k, read by rows. A325580