12867
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17160
- Proper Divisor Sum (Aliquot Sum)
- 4293
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8576
- Möbius Function
- 1
- Radical
- 12867
- 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
- 63
- 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
- "STIRLING" transform of squares A000290.at n=7A033452
- Trajectory of 3 under map n->37n+1 if n odd, n->n/2 if n even.at n=19A037116
- Integer part of square root of n-th Fibonacci number.at n=41A061287
- a(n) = floor(surface area of a sphere with radius n).at n=31A066644
- a(n) = floor(2^n*Pi).at n=13A068425
- Duplicate of A068425.at n=12A088970
- Number of positive integers <= 10^n that are divisible by no prime exceeding 11.at n=9A107352
- Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} in which the last block is the singleton {k}, 1<=k<=n; the blocks are ordered with increasing least elements.at n=52A108458
- Area of annuli of consecutive integer thickness.at n=15A114378
- Generalized Catalan triangle of Riordan type, called C(1,2).at n=39A115193
- A sequence related to A000108 (Catalan numbers).at n=5A115194
- Square array related to Bell numbers read by antidiagonals.at n=48A123158
- Numbers such that the sum of the factorials of the digits of the cube is a square.at n=34A126076
- Triangle read by rows: matrix product of the binomial coefficients with the Stirling numbers of the second kind.at n=34A126350
- Triangle read by rows: A008277 * A007318.at n=29A137597
- Partial sums of A003214.at n=14A174566
- Triangle by rows, A033452 convolved with A000079.at n=27A180338
- Number of (n+1) X 6 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively.at n=9A204648
- G.f.: 1/(1 - x - x^2 - x^3 + x^5 + x^6 + x^7).at n=18A227376
- Number of (n+1) X (2+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order.at n=12A231458