11640
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 23640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 2910
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 143
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 n-step polygons on f.c.c. lattice.at n=5A001337
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=23A010012
- a(n) = Sum_{k=0..n} (k+1) * A026648(n,k).at n=10A026975
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=39A060674
- Engel expansion of Gamma(3/4) = Sum_{i>0} 1/Product_{n=1..i} 1/a(n).at n=4A068478
- Least k for the Theodorus spiral to complete n revolutions.at n=33A072895
- Square root of n has the same nonzero digit in each of the first 4 places to the right of the decimal point.at n=4A073585
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=38A115176
- Number of permutations of 4 indistinguishable copies of 1..n arranged in a circle with exactly 5 adjacent element pairs in decreasing order.at n=1A151600
- a(n) = 81*n^2 - 2*n.at n=11A157507
- A triangle related to the a(n) formulas of the rows of the ED1 array A167546.at n=32A167552
- The fifth left hand column of triangle A167552.at n=3A168303
- Number of 6-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions.at n=11A187176
- Coefficient of x in the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=16A192982
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2<x^2+y^2.at n=25A211635
- n-th derivative of sec(x)^sinh(x) at x=0.at n=9A215678
- Number of 0..n arrays of length n with each element unequal to at least one neighbor, with new values introduced in 0..n order.at n=8A221453
- Smallest number k such that prime(n) divides the n-th divisor of k.at n=23A226101
- Sum of the three largest parts in the partitions of 4n into 4 parts.at n=8A243011
- Triangle read by rows giving certain self-avoiding walk data for the face-centered cubic lattice.at n=13A260018