12894
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29568
- Proper Divisor Sum (Aliquot Sum)
- 16674
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3672
- Möbius Function
- 1
- Radical
- 12894
- 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
- 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
- 76
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of 1 / Product_{k>=1} (1-x^k)^(k+1).at n=13A005380
- Numbers n such that Pi^(n*e)-e^n is closer to its nearest integer than any value of Pi^(k*e)-e^k for 1 <= k < n.at n=12A080280
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=25A117720
- Numbers n such that n^24 + 1 = p*q with p,q distinct primes.at n=24A119982
- Number of nX2 1..3 arrays containing at least one of each value, and all equal values connected.at n=7A166756
- Third accumulation array, T, of the natural number array A000027, by antidiagonals.at n=51A185508
- Number of partitions p of n such that max(p) - min(p) = 10.at n=36A218573
- a(1)=1, a(2)=2; thereafter a(n) = a(n-1) + a(n-1-(number of even terms so far)) + a(n-1-(number of odd terms so far)).at n=39A249039
- Number of (n+2) X (3+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=17A253020
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 110", based on the 5-celled von Neumann neighborhood.at n=34A270170
- Numbers n such that Bernoulli number B_{n} has denominator 1806.at n=19A272139
- Numbers k such that 10^k - 401 is prime.at n=18A288821
- a(0) = a(1) = 1; a(n) = [x^n] Product_{k=1..n-1} 1/(1 - a(k)*x^a(k)).at n=23A300411
- Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.at n=19A304137
- Möbius transform of A341512, sigma(n)*A003961(n) - n*sigma(A003961(n)).at n=59A346239
- Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^3 ).at n=4A365844