Properties of the Number 13052

Thirteen Thousand Fifty-Two

Basics

Value: 13051 → 13052 → 13053

Parity: even

Prime: No

Previous Prime: 13049

Next Prime: 13063

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 13 × 251

Divisors: 1, 2, 4, 13, 26, 52, 251, 502, 1004, 3263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001011111100

Octal: 31374

Duodecimal: 7678

Hexadecimal: 32fc

Square: 170354704

Square Root: 114.24535001478178

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251268

T(n,k)=Number of nXk 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing. A224353

Number of regions in a "cross" of width 3 and height n (see Comments for definition). A331455

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

Expansion of ∏_m>=1 (1+q^m)^-13. A22608

Let Do(n) = A006566(n) = n-th dodecahedral number. Consider all integer triples (i,j,k), j >= k > 0, with Do(i) = Do(j) + Do(k), ordered by increasing i; sequence gives k values. A53019

Sum of next n even interprimes. A75675

G.f. A(x) satisfies A(x) = 1/((1 - x·A(x)²) * (1 - x·A(x)³)). A379285

Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition). A71861

G.f. satisfies A(x) = ( 1 + x * (A(x)^1/2 / (1-x))^3/2 )². A370477