4105
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4932
- Proper Divisor Sum (Aliquot Sum)
- 827
- 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
- 3280
- Möbius Function
- 1
- Radical
- 4105
- 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
- 157
- Smith Number
- no
- 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
- Numbers that are the sum of 11 positive 11th powers.at n=2A004822
- Numbers that are the sum of at most 11 positive 11th powers.at n=32A004917
- Numbers that are the sum of at most 12 positive 11th powers.at n=34A004918
- Coordination sequence T2 for Zeolite Code CAS.at n=39A008064
- Coordination sequence T8 for Zeolite Code EUO.at n=40A008103
- Numbers that are the sum of 3 positive cubes in more than one way.at n=29A008917
- Expansion of 1/(1-x^2-x^3-x^4-x^5).at n=22A013982
- Fibonacci sequence beginning 1, 17.at n=13A022107
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=18A024974
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=29A025396
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=18A025400
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=26A031465
- Sums of distinct powers of 8.at n=19A033045
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=33A036462
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) = cn(3,5) = cn(4,5).at n=67A036855
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(1,5) = cn(3,5) = cn(4,5).at n=67A036857
- Positive numbers having the same set of digits in base 2 and base 8.at n=15A037413
- Sum of first n primes of form 4k+1.at n=28A038346
- Sums of 3 distinct powers of 8.at n=4A038485
- Numbers having three 1's in base 8.at n=28A043427