11115
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 21840
- Proper Divisor Sum (Aliquot Sum)
- 10725
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 3705
- Omega Function (Ω)
- 5
- 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
- 161
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(11*n - 1)/2.at n=45A022268
- Every suffix prime and no 0 digits in base 6 (written in base 6).at n=44A024781
- Numbers whose product of digits is prime.at n=42A028842
- Numbers whose maximal base-10 run length is 4.at n=14A033285
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+5 or 24k-5. Also number of partitions in which no odd part is repeated, with at most 2 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=50A036031
- Numbers divisible by the sum and product of their digits.at n=45A038186
- Numbers having four 1's in base 10.at n=8A043496
- Positive numbers n such that n is a multiple of (product of digits of n) * (sum of digits of n).at n=10A049102
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives i values.at n=42A053719
- Larger members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=29A054572
- McKay-Thompson series of class 32B for the Monster group.at n=36A058630
- a(n) = (n/2)*(n + 1)*(3*n + 11).at n=17A059997
- Number of 4-block ordered bicoverings of an unlabeled n-set.at n=14A060091
- Sum of divisors of twice square numbers.at n=41A065765
- Sum of decimal digits of square of divisors of n equals sum of square of digits of n.at n=41A067344
- Multiples of 9 in which there is no common digit in successive terms.at n=26A083497
- Lunar fourth powers: n*n*n*n, where * is lunar multiplication.at n=15A087051
- Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 61 for n > 0.at n=13A101576
- Numbers k such that 8*10^k + 7*R_k - 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=8A103090
- Keep only the first digit of each integer and concatenate them. The result is the concatenation of all integers of the sequence.at n=22A106000