8827
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
- 10976
- Proper Divisor Sum (Aliquot Sum)
- 2149
- 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
- 6912
- Möbius Function
- -1
- Radical
- 8827
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- a(n) = floor(n*phi^16), where phi is the golden ratio, A001622.at n=4A004931
- Expansion of x/(1 - 4*x - 3*x^2).at n=7A015530
- Strong pseudoprimes to base 62.at n=16A020288
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=3, a(1)=11.at n=15A022410
- Expansion of Product_{m>=1} (1+m*q^m)^-26.at n=4A022718
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=7A031783
- Numerators of continued fraction convergents to sqrt(170).at n=2A041312
- Number of ordered set partitions with a designated element in each block and no block containing less than two elements.at n=7A052848
- Number of positive integers <= 2^n of form x^2 + 17 y^2.at n=16A054230
- Numbers n such that sigma(sigma(n) - phi(n)) = phi(sigma(n) + phi(n)).at n=6A074876
- a(n) = (6*n+1)*(6*n+7).at n=15A085026
- Numbers n such that n concatenated with n+1 is triangular.at n=15A094609
- Numbers n such that (2^n+1)^4-2 is prime.at n=8A100496
- Expansion of (1+2*x)/((1+x+x^2)*(1+5*x+x^2)).at n=6A110307
- Row sums of triangle A131424.at n=37A131425
- Quadruple lucky numbers (lower terms). Numbers n such that n, n+2, n+6, n+8 are all Lucky numbers.at n=13A139783
- Second bisection of A061039.at n=45A144450
- a(n) = numerator of constant lambda(n) involved in a recurrence for the Atkin polynomials A_k(j).at n=15A145226
- Numbers n such that there exists x in N : (x+1)^3 - x^3 = 103*n^2.at n=0A147529
- Products of three distinct happy primes A035497.at n=9A154717