8828
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15456
- Proper Divisor Sum (Aliquot Sum)
- 6628
- 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
- 4412
- Möbius Function
- 0
- Radical
- 4414
- Omega Function (Ω)
- 3
- 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
- 171
- 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
- a(n) = round(n*phi^16), where phi is the golden ratio, A001622.at n=4A004951
- a(n) = ceiling(n*phi^16), where phi is the golden ratio, A001622.at n=4A004971
- Number of partitions satisfying cn(2,5) + cn(3,5) <= 1.at n=43A039857
- Numbers having three 8's in base 10.at n=18A043523
- Numbers n such that 83*2^n-1 is prime.at n=30A050567
- Starting positions of strings of three 3's in the decimal expansion of Pi.at n=6A083610
- Triangle, read by rows, such that the diagonal (A084785) is the self-convolution of the first column (A084784) and the row sums (A084786) gives the differences of the diagonal and the first column.at n=29A084783
- Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime.at n=33A090832
- Numbers n such that p(n),p(n)+6,p(n)+12,p(n)+18 are consecutive primes and p(n)=6*k+1 for some k, where p(n) denotes n-th prime.at n=16A090838
- Triangle read by rows, related to A055129 (repunits in base k).at n=38A107893
- Numbers k such that phi(k) + prime(k) is a triangular number.at n=34A115908
- a(n) = (n^3)/2 + (3*n^2)/2 + 3*n + 3.at n=24A127873
- Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + ((n+1)*(n+2)/2)^2*T(n-2, k-1), read by rows.at n=12A154229
- 4 times the Lucas number A000032(n).at n=16A156279
- The magic constants of 6 X 6 magic squares composed of consecutive primes.at n=41A177434
- Number of 4-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=17A187157
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3<x^3+y^3.at n=24A211801
- Numbers in which each digit equals the product (mod 10) of the other digits.at n=46A226467
- a(n) is the integer part of r^n where r^2 = Sum_{n>=1} 1/a(n).at n=20A266331
- Numbers n such that the arithmetic derivative of the totient(n) is equal to the cototient(n).at n=48A272528