1111
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- yes
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1224
- Proper Divisor Sum (Aliquot Sum)
- 113
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1000
- Möbius Function
- 1
- Radical
- 1111
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 31
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Unary representation of natural numbers.at n=3A000042
- Number of bipartite partitions of n white objects and 2 black ones.at n=13A000291
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=37A000603
- Strobogrammatic numbers: the same upside down.at n=20A000787
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=54A000916
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=37A000960
- Trajectory of 1 under map x->x + (x-with-digits-reversed).at n=8A001127
- Smallest natural number requiring n letters in English.at n=27A001166
- Number of letters in English name for n increases at these numbers.at n=19A001619
- 4 in base 10-n.at n=9A001736
- Repunits: (10^n - 1)/9. Often denoted by R_n.at n=4A002275
- Squares written in base 7.at n=19A002440
- Numbers whose square is a palindrome.at n=16A002778
- Number of atoms in a decahedron with n shells.at n=11A004068
- Least positive multiple of n written in base 3 using only 0 and 1.at n=19A004283
- Least positive multiple of n written in base 3 using only 0 and 1.at n=7A004283
- Least positive multiple of n written in base 5 using only 0 and 1.at n=11A004285
- Least positive multiple of n written in base 5 using only 0 and 1.at n=38A004285
- Least positive multiple of n written in base 5 using only 0 and 1.at n=3A004285
- Least positive multiple of n written in base 7 using only 0 and 1.at n=15A004287