12798
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 29040
- Proper Divisor Sum (Aliquot Sum)
- 16242
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4212
- Möbius Function
- 0
- Radical
- 474
- Omega Function (Ω)
- 6
- 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
- 169
- 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
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=35A020342
- Numbers n such that sigma(n) = phi(n) + phi(n-1) + phi(n-2) + phi(n-3).at n=3A067203
- Trisection of A007294.at n=36A073470
- Numbers k such that k!!!!!! + 1 is prime.at n=42A085150
- Number of subsets of {1, ..., n} that are neither double-free nor sum-free.at n=14A088812
- Number of irregular primes less than or equal to the 2^n-th prime.at n=14A105465
- Smallest number that can be written in exactly n ways as a sum of distinct repdigits of its decimal digits.at n=29A131367
- First differences of A140495.at n=35A142716
- 6 times octagonal numbers: a(n) = 6*n*(3*n-2).at n=27A153796
- Partial sums of A048995.at n=42A174514
- Number of ways to place 7 nonattacking wazirs on an n X n board.at n=4A201507
- Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, three, four or five distinct values for every i,j,k<=n.at n=10A211527
- Triangle read by rows: T(n,k) = number of n X n binary matrices with k pairwise nonadjacent 1's, n >= 0, k = 0..n^2.at n=42A232833
- Numbers with the property that in their factorization over distinct terms of A050376, the sums of prime and nonprime terms of A050376 are equal.at n=17A241270
- Number of nX5 0..1 arrays with each 1 adjacent to 3 or 5 king-move neighboring 1s.at n=7A296154
- Coordination sequence for "reo" 3D uniform tiling.at n=40A299279
- Sum of the seventh largest parts in the partitions of n into 8 parts.at n=45A308991
- a(n) = Sum_{k=1..n} k^2*sigma(k), where sigma is A000203.at n=12A319086
- Möbius transform of A341529, sigma(n) * A003961(n).at n=31A347125
- Möbius transform of A341529, sigma(n) * A003961(n).at n=51A347125