6786
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 9594
- 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
- 2016
- Möbius Function
- 0
- Radical
- 2262
- 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
- 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
- 44
- 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
- a(n) = (11*n+1)*(11*n+10).at n=7A001536
- a(n) is the sum of products of terms in all partitions of n.at n=14A006906
- Fibonacci sequence beginning 0, 18.at n=14A022352
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2 ) and d(n) = (n-th number that is 1, 2, or 3, or is not a Lucas number).at n=16A023502
- 2nd elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3.at n=7A024391
- a(n) = 2*n*(4*n + 1).at n=29A033585
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=22A045051
- a(n) = 10*n^2+n.at n=25A055437
- Number of (2,n)-partitions of a chain of length n^3.at n=4A055659
- Numbers k such that k | sigma_7(k).at n=35A055711
- Number of n-celled axially symmetric polyominoes without holes.at n=16A056879
- McKay-Thompson series of class 27b for the Monster group.at n=27A058601
- Numbers n such that phi(n) = product of the digits of n.at n=12A058627
- 3 times pentagonal numbers: 3*n*(3*n-1)/2.at n=39A062741
- Number of length 3 walks on an n-dimensional hypercubic lattice starting at the origin and staying in the nonnegative part.at n=18A064043
- Triangular numbers which are a concatenation of two or more positive triangular numbers.at n=19A068144
- Triangular numbers such that the product of digits is also a (positive) triangular number.at n=12A069077
- Triangular numbers of the form 6*k.at n=38A069497
- Triangular numbers with internal digits also forming a triangular number.at n=25A069702
- Triangular numbers with property that swapping first and last digits also gives a triangular number.at n=27A069708