12747
domain: N
Properties
Digital Properties
- Digit Count
- 5
- 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
- 19456
- Proper Divisor Sum (Aliquot Sum)
- 6709
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7272
- Möbius Function
- -1
- Radical
- 12747
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 81
- 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
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=37A001976
- Denominators of continued fraction convergents to sqrt(467).at n=9A041891
- Numbers that are the product of 3 distinct primes a,b and c, such that a+b+c, a^2+b^2+c^2 and a^3+b^3+c^3 are prime numbers.at n=17A176911
- Number of n X 1 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal.at n=6A206570
- Number of nX7 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal.at n=0A206576
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal.at n=21A206577
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal.at n=27A206577
- Number of nX7 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=0A206973
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=21A206974
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=27A206974
- Number of 7Xn 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=0A206979
- Number of nX7 0..3 arrays avoiding the pattern z-1 z-1 z in any row or column.at n=0A207056
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row or column.at n=21A207057
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row or column.at n=27A207057
- Number of nX7 0..3 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically.at n=0A207581
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically.at n=21A207582
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically.at n=27A207582
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 189", based on the 5-celled von Neumann neighborhood.at n=26A270679
- Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=10A316752
- Number of n-dimensional representations of the group SU(3).at n=47A346159