8279
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
- 4
- Divisor Sum
- 8784
- Proper Divisor Sum (Aliquot Sum)
- 505
- 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
- 7776
- Möbius Function
- 1
- Radical
- 8279
- Omega Function (Ω)
- 2
- 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
- 158
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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) = -a(n-1) - 2*a(n-2).at n=27A001607
- 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 89.at n=35A031587
- Multiplicity of highest weight (or singular) vectors associated with character chi_20 of Monster module.at n=38A034408
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5)).at n=47A036809
- Numbers k such that 3*7^k + 2 is prime.at n=18A059041
- a(0) = 1; a(n+1) = a(n) + Sum_{i=0..n} binomial(n,i)*(a(i)+1).at n=7A060719
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 11.at n=26A064909
- a(n) = 4*n^2 + 4*n - 1.at n=44A073577
- a(n) is the unique odd positive solution x of 2^n = 7x^2+y^2.at n=26A077020
- Numbers k such that phi(k) is a perfect 5th power.at n=23A078165
- a(n) = least odd number such that all pairwise sums a(i) + a(j), i < j <= n, are distinct.at n=48A080430
- Expansion of (1 + 2*x)/(1 + 3*x + 4*x^2).at n=13A087168
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 67, the third irregular prime.at n=7A093059
- Lucas and Lehmer numbers with parameters (1 +- sqrt(-7))/2.at n=27A107920
- Odd numbers n for which 13 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=26A112076
- The number of primes between n and n^3 (with n and n^3 excluded).at n=43A117491
- Numbers n such that twice the sum of the prime factors of n equals the product of the digits of n.at n=21A125309
- Ramanujan numbers (A000594) read mod 23^3.at n=28A126847
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k UDUDU's (n >= 0; 0 <= k <= n-2 for n >= 2).at n=31A128753
- Triangle read by rows: T(n,k) = 2 * A011971(n,k) - 1.at n=35A136791