6105
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10944
- Proper Divisor Sum (Aliquot Sum)
- 4839
- 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
- 2880
- Möbius Function
- 1
- Radical
- 6105
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 111
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of permutations of length n with longest increasing subsequence of length 5.at n=3A001456
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=31A010819
- Pseudoprimes to base 43.at n=48A020171
- a(n) = (d(n)-r(n))/5, where d = A026054 and r is the periodic sequence with fundamental period (3,3,0,0,4).at n=51A026056
- (prime(n)-1)(prime(n)-3)/8.at n=46A030005
- a(n) = (2*n-1)*(4*n-1).at n=28A033567
- Number of partitions of n into a prime number of parts.at n=36A038499
- Numbers having three 3's in base 9.at n=31A043467
- Haüy rhombic dodecahedral numbers.at n=7A046142
- Squarefree odd numbers with exactly 4 distinct prime factors.at n=32A046390
- Triangle of numbers T(n,k) = number of permutations of (1,2,...,n) with longest increasing subsequence of length k (1<=k<=n).at n=32A047874
- Expansion of (1 - x)/(1 - 2*x - x^3).at n=12A052980
- Trajectory of 29 under the `29x+1' map.at n=4A057687
- Numbers k such that phi(k)+sigma(k) is a perfect cube.at n=6A061366
- Triangular numbers with product of digits also a triangular number.at n=47A061380
- 3 times pentagonal numbers: 3*n*(3*n-1)/2.at n=37A062741
- Number of pentagonal regions in regular n-gon with all diagonals drawn.at n=28A067152
- Triangular numbers which are a concatenation of two or more positive triangular numbers.at n=16A068144
- a(1) = 1; a(n) is the smallest triangular number > a(n-1) which differs from it at every digit.at n=24A068855
- Triangular numbers with property that digits alternate in parity.at n=22A068882