13070
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 23544
- Proper Divisor Sum (Aliquot Sum)
- 10474
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5224
- Möbius Function
- -1
- Radical
- 13070
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=33A005914
- a(0) = 1, a(n) = 27*n^2 + 2 for n>0.at n=22A010017
- G.f. satisfies: A(x) = 1 + ( x/A(x) )/A( x/A(x) ).at n=7A107588
- Triangle of column sequences with a certain o.g.f. pattern.at n=31A112500
- Fourth column of triangle A112500.at n=4A112503
- Number of Fermat pseudoprimes to base 7 less than 10^n.at n=9A114249
- Numbers k such that k^2 + 1 == 0 (mod 41^2).at n=15A157116
- Row 4 of table A162430.at n=21A162433
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210864; see the Formula section.at n=47A210865
- Related to Pisano periods: numbers n such that there are n+10 distinct Fibonacci numbers mod n.at n=37A229467
- Maximal number of partitions having the same degree in the partition graph G(n) defined at A241150.at n=39A241152
- The number of overpartitions of n into parts congruent to 2, 4, or 5 modulo 6.at n=47A253136
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 742", based on the 5-celled von Neumann neighborhood.at n=41A273484
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood.at n=17A282224
- Width of polyominoes in A282389.at n=13A282390
- a(n) = 2*a(n-1)-2*a(n-2)+a(n-3)+2*a(n-4) with a(0)=a(1)=0, a(2)=2, a(3)=3.at n=22A307688