1100
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 2
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 2604
- Proper Divisor Sum (Aliquot Sum)
- 1504
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 400
- Möbius Function
- 0
- Radical
- 110
- 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
- 93
- 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 asymmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have no symmetry.at n=14A000785
- a(1)=0, a(2n) = a(n)+1, a(2n+1) = 10*a(n+1).at n=20A001202
- a(n) = n^2 written in base 3.at n=6A001738
- Squares written in base 8.at n=23A002441
- A generalized partition function.at n=11A002600
- Numbers that are the sum of 8 positive 5th powers.at n=37A003353
- Roman numerals with 1 letter, in numerical order; then those with 2 letters, etc.at n=35A003587
- Roman numerals with 1 letter, in alphabetical order; then those with 2 letters, etc.at n=25A003588
- Degrees of irreducible representations of alternating group A_11.at n=25A003866
- Degrees of irreducible representations of symmetric group S_11.at n=43A003875
- Degrees of irreducible representations of symmetric group S_11.at n=44A003875
- Expansion of g.f.: (1+x)/(1-10*x).at n=3A003953
- For m=2,3,..., write m in bases 2,3,..,m.at n=55A004053
- Least positive multiple of n written in base 3 using only 0 and 1.at n=35A004283
- Least positive multiple of n written in base 3 using only 0 and 1.at n=17A004283
- Least positive multiple of n written in base 4 using only 0 and 1.at n=39A004284
- Least positive multiple of n written in base 6 using only 0 and 1.at n=27A004286
- Positions of remoteness 5 in Beans-Don't-Talk.at n=38A005697
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=28A006501
- a(n) = 10*n^3 - 6*n^2.at n=5A006592