6177
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 2463
- 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
- 3920
- Möbius Function
- -1
- Radical
- 6177
- Omega Function (Ω)
- 3
- 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
- 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
- Pseudoprimes to base 70.at n=29A020198
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, 1, 3, 3.at n=11A025256
- Lucky numbers with size of gaps equal to 18 (lower terms).at n=36A031900
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 4).at n=44A035549
- a(1) = 10; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=43A074346
- Number of polyiamonds with 2n cells that tile the plane by translation.at n=8A075216
- Odd numbers k such that (10^k - 1)/3 - 2*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime) of the form 3...313...3.at n=14A077775
- Triangle read by rows: d(n,k) = number of decreasing labeled trees with n nodes and largest leaf <= k, for 1 <= k <= n.at n=38A079268
- Number of 4-multiantichains of an n-set.at n=5A084871
- a(n) is the difference between A084321(n) and the (n-1)th power of 2.at n=25A085355
- Sum of the left diagonal in ordered 3 X 3 prime squares.at n=34A105090
- Smaller of two consecutive lucky numbers with the same digital sum.at n=22A118566
- Triangle T(n,k) = total of number at last index for all set partitions of n into k parts.at n=38A120095
- Triangle read by rows: T(n,k) is the number of k-cell columns in all directed column-convex polyominoes of area n (1<=k<=n).at n=46A121468
- 3 times heptagonal numbers: a(n) = 3*n*(5*n-3)/2.at n=29A152773
- Row sums of triangle defined in A112593.at n=46A160991
- Exactly 10 consecutive odd integers starting with n are composite.at n=29A162023
- Total number of different letters summed over all ternary words of length n.at n=7A210448
- Number of partitions of n+8 with largest inscribed rectangle having area <= n.at n=23A218629
- Least number k > 0 such that n^k contains n*R_n in its decimal representation, or 0 if no such k exists.at n=6A248018