8880
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 28272
- Proper Divisor Sum (Aliquot Sum)
- 19392
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 1110
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Numbers that are the sum of 9 positive 7th powers.at n=35A003376
- a(n) = n*(13*n - 1)/2.at n=37A022270
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 19 (most significant digit on right and removing all least significant zeros before concatenation).at n=21A029536
- Numbers k such that k^3 has at most three different digits.at n=42A030294
- Numbers whose set of base-14 digits is {3,4}.at n=17A032838
- Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=36A035953
- Numbers having three 8's in base 10.at n=24A043523
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=23A060664
- Sum of all partitions of n into distinct parts.at n=30A066189
- Multiples of 24 whose digits also sum to 24.at n=37A066270
- Products of Wythoff pairs: [n*r]*[n*r^2], where [] is the floor function and r is the golden ratio, (1+sqrt(5))/2.at n=45A075312
- Smallest multiple of n using only digits 0 and 8.at n=14A078247
- Smallest multiple of n using only digits 0 and 8.at n=29A078247
- a(n) is the difference between the largest and smallest integer solutions to n=x/pi(x), where pi(x) = A000720(x).at n=28A087236
- G.f.: sqrt(1/agm(1, 1-8*x)) = sqrt(o.g.f. for A081085).at n=6A089603
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=32A090782
- Positive integers n such that n^14 + 1 is semiprime (A001358).at n=36A104335
- Number of planar partitions of n where parts strictly decrease along each row and column.at n=26A114736
- Number of connected (5,n)-hypergraphs (without empty edges).at n=4A114937
- Least power of 3 having a run of exactly n consecutive 5's in its decimal representation.at n=7A131548