8872
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16650
- Proper Divisor Sum (Aliquot Sum)
- 7778
- 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
- 4432
- Möbius Function
- 0
- Radical
- 2218
- Omega Function (Ω)
- 4
- 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
- 21
- 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
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], where T is the array in A026374.at n=17A026385
- a(n) = T(n, n+3), T given by A027052.at n=11A027054
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 47.at n=20A031545
- Series for 2nd perpendicular moment of square lattice bond percolation near a wall (eventually goes negative).at n=11A056601
- Numbers k such that k*(k+4) gives the concatenation of two numbers m and m-2.at n=0A116275
- a(n) is the smallest integer k such that the n-th (backward) difference of the partition sequence A000041 is positive from k onwards.at n=24A155861
- Indices of 4's in A090822.at n=39A157107
- G.f.: Product_{n>0} ( (1+x^n)/(1-x^n) )^(n^4).at n=5A206624
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant >= 3n.at n=13A210368
- Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nX5 array.at n=5A217979
- Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nX6 array.at n=4A217980
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nXk array.at n=49A217982
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nXk array.at n=50A217982
- Number of (2+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7.at n=10A252534
- Lengths of runs of identical terms in A253443.at n=31A253444
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 573", based on the 5-celled von Neumann neighborhood.at n=19A272997
- Numbers that are the largest value in the Collatz (3x+1) trajectories of exactly six initial values.at n=32A274467
- Numbers n that have an equal number of even and odd values of A001221(k) for 1 <= k <= n.at n=30A275547
- Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=5A317599
- Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=2A317602