Properties of the Number 13752

Thirteen Thousand Seven Hundred Fifty-Two

Basics

Value: 13751 → 13752 → 13753

Parity: even

Prime: No

Previous Prime: 13751

Next Prime: 13757

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 191

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11010110111000

Octal: 32670

Duodecimal: 7B60

Hexadecimal: 35b8

Square: 189117504

Square Root: 117.26892171415238

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

Row 3 of A007754. A58794

Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x·T_m-1(x) - T_m-2(x), m >= 2, T₀(x) = 2, T₁(x) = x (dilated Chebyshev polynomials of the first kind). A299071

T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. A232047

a(n) = n³ - 3·n. A121670

Triangle read by rows giving numbers B(n,k) arising in the enumeration of doubly rooted tree maps. A260039

G.f.: q-sinh(x) evaluated at q=-x. A198202

a(n) = ∑_i=0..n digsum(i)³, where digsum(i) = A007953(i). A231688

Positions of +4's in A346242. A354814

Number of integer partitions of n not containing more ones than any other part. A381544

a(n) = 24a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 24. A90732