8824
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16560
- Proper Divisor Sum (Aliquot Sum)
- 7736
- 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
- 4408
- Möbius Function
- 0
- Radical
- 2206
- 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
- 47
- 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
- Number of partitions of n into at most 9 parts.at n=37A008638
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=63A011909
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=17A020427
- Number of partitions of n in which the greatest part is 9.at n=46A026815
- Sum of reciprocals of digits = 1.at n=45A037268
- Number of walks on simple cubic lattice (starting on the xy plane, never going below it and finishing a height 1 above it).at n=6A052177
- Triangle of numbers arising in enumeration of walks on cubic lattice.at n=22A052179
- Numbers k such that 2^k - 15 is prime.at n=23A059612
- Integer part of the area of circles with prime radii.at n=15A097427
- Numbers n such that p(7n) is prime, where p(n) is the number of partitions of n.at n=19A114167
- Total number of largest parts in all partitions of n that contain at least two distinct parts.at n=31A182629
- Number of (n+3) X 4 0..2 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=1A186581
- Number of (n+3) X 5 0..2 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=0A186582
- T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=2A186589
- T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=1A186589
- Convolution of A000085 with itself.at n=9A188287
- Potential magic constants of 8 X 8 magic squares composed of consecutive primes.at n=19A189188
- Number of nX2 1..4 arrays with no element with value z exactly a city block distance of z from another element with value z.at n=3A210782
- Number of nX4 1..4 arrays with no element with value z exactly a city block distance of z from another element with value z.at n=1A210784
- T(n,k)=Number of nXk 1..4 arrays with no element with value z exactly a city block distance of z from another element with value z.at n=11A210788