11505
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
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 8655
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5568
- Möbius Function
- 1
- Radical
- 11505
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- Number of compact-rooted directed animals of size n having 3 source points.at n=8A005775
- Numbers k such that sigma(k) = sigma(k+11).at n=8A015881
- Triangular array that counts rooted polyominoes.at n=57A038622
- a(n) = (2*n-1)*(n^2 -n +6)/6.at n=32A049480
- Numbers k such that 277*2^k-1 is prime.at n=14A050897
- a(n) = Sum_{k=1..n} lcm(k,n)/gcd(k,n).at n=32A056789
- McKay-Thompson series of class 39A for Monster.at n=46A058659
- a(1) = 1; for n >= 1, a(n+1) is smallest number such that the sums of any one, two or three of a(1), ..., a(n) are distinct (repetitions not allowed).at n=21A062065
- Sixth column (r=5) of FS(3) staircase array A062745.at n=12A062749
- Triangle, read by rows, of pairwise sums of trinomial coefficients (A027907).at n=61A104029
- Numbers k such that 2k+1, 4k+1, 6k+1 and 8k+1 are primes.at n=9A124409
- Numbers k such that 2*k+1, 4*k+1, 8*k+1 and 16*k+1 are primes.at n=13A124412
- Numbers of the form 56+p^2 (where p is a prime).at n=27A138690
- This is to A139025 as A139025 to A014688, see A139025 for details.at n=21A139026
- Numerator of Euler(n, 3/16).at n=4A156378
- Partial sums of [A080782^2].at n=31A164765
- Partial sums of A001523.at n=17A174439
- Partial sums of A079062.at n=29A177455
- Number of partitions of n with no part equal to 1 or 3.at n=50A181531
- Number of distinct values taken by 8th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1.at n=12A215971