8027
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 373
- 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
- 7656
- Möbius Function
- 1
- Radical
- 8027
- 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
- 189
- 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
- Pisot sequence E(9,15), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).at n=13A014003
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=34A025000
- Least k such that Sum_{i=1..k} (prime(i) + prime(i+2) - 2*prime(i+1)) = 2n + 1.at n=27A073051
- Semiprimes that are the sum of two positive cubes. Common terms of A003325 and A046315.at n=33A085366
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 51 for n > 0.at n=16A101147
- Numbers which are the sum of two positive cubes and divisible by 23.at n=8A101806
- Shadow of Pi.at n=39A110621
- a(1) = 1+2-3 = 0, a(2) = 4+5+6-7 = 8, a(3) = 8+9+10+11-12 = 26, a(4) = 13+14+15+16+17-18 = 57, ...at n=23A111694
- a(n) = Sum_{k=1..n} floor(n^2/k).at n=43A118014
- Expansion of (17-25*x-23*x^2+133*x^3)/(1-x)^4.at n=9A118587
- Ramanujan numbers (A000594) read mod 23^3.at n=8A126847
- Numbers k such that k^2 + 1 == 0 (mod 41^2).at n=9A157116
- Magic constants of 5 X 5 magic squares which consist of consecutive primes.at n=31A176571
- Inverse permutation to A190130.at n=36A190131
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,5,2,2,0,2,0 for x=0,1,2,3,4,5,6.at n=5A198049
- Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 6.at n=34A244460
- Total number of inversions in all partitions of n into distinct parts.at n=38A271371
- Number T(n,k) of matchings of size k in the n X n X n triangular grid; triangle T(n,k), n>=0, 0<=k<=floor(n*(n+1)/4), read by rows.at n=25A288852
- The number of seconds after midnight corresponding to prime time primes, i.e., primes of the form HMMSS with primes H < 24 and MM, SS < 60, cf. A295013.at n=31A295003
- Expansion of Sum_{k>=0} x^(k*(k+1)/2) * Product_{j=1..k} (1 + x^j)^j.at n=42A306733