11688
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29280
- Proper Divisor Sum (Aliquot Sum)
- 17592
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3888
- Möbius Function
- 0
- Radical
- 2922
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 99
- 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
- Numbers k such that k and 7*k are anagrams.at n=2A023091
- Least term in period of continued fraction for sqrt(n) is 9.at n=13A031433
- Number of days in n years (n=4 is the first leap year).at n=31A033171
- Number of days in n years (n=3 is the first leap year).at n=31A033172
- Number of days in n years (n=2 is the first leap year).at n=31A033173
- Number of days in n years (n=1 is the first leap year).at n=31A033174
- Number of self-avoiding walks of length n on the Laves graph.at n=13A046944
- Even numbers of the form floor( binomial(2k, 2j)/binomial(k, j)).at n=10A111304
- a(n) = 5 + floor((1 + Sum_{j=1..n-1} a(j)) / 2).at n=19A120135
- a(n) = 1728*n - 408.at n=6A157266
- Number of binary strings of length n with equal numbers of 0010 and 1010 substrings.at n=15A164170
- Number of reduced 3 X 3 magilatin squares with magic sum n.at n=21A174020
- a(n) = 81*n^2 + 2*n.at n=11A177099
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=34A181882
- Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p).at n=34A239955
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) < number of parts of p.at n=35A241828
- The 180-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=31A244806
- Numbers x whose digits can be permuted to produce a multiple of x.at n=14A245680
- Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = x + 4.at n=16A257606
- Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = x + 4.at n=19A257606