Properties of the Number 13053

Thirteen Thousand Fifty-Three

Basics

Value: 13052 → 13053 → 13054

Parity: odd

Prime: No

Previous Prime: 13049

Next Prime: 13063

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 229

Divisors: 1, 3, 19, 57, 229, 687, 4351, 13053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011111101

Octal: 31375

Duodecimal: 7679

Hexadecimal: 32fd

Square: 170380809

Square Root: 114.24972647669665

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 m such that there are precisely 7 groups of order m. A249550

a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes. A66509

a(n) = A036800(n)/2. A36826

Numbers of the form prime(n)*(prime(n)-1)/4. A171555

Triangle, read by rows, where T(n,k) equals the dot product of the vector of terms in row n-1 from T(n-1,k) to T(n-1,n-1) with the vector of terms in column k+1 from T(k+1,k+1) to T(n,k+1): T(n,k) = ∑_j=0..n-k-1 T(n-1,j+k)*T(j+k+1,k+1) for n>k+1>0, with T(n,n) = 1 and T(n,n-1) = n (n>=1). A115085

Column 0 of triangle A115085. A115086

Numbers k such that k⁶ == 1 (mod 7⁴). A56092

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x² + ... + xⁿ to the polynomial A_k*(x-2k)^k for 0 <= k <= n. A248830

Number of (2+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258555

a(n) = (1/n) * ∑_k=1..n k·lcm(k,n). A344509