8927
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
- 9120
- Proper Divisor Sum (Aliquot Sum)
- 193
- 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
- 8736
- Möbius Function
- 1
- Radical
- 8927
- 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
- 47
- 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) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=38A025212
- 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 93.at n=24A031591
- Number of partitions satisfying cn(0,5) + cn(1,5) <= cn(2,5) + cn(3,5) and cn(0,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=36A039886
- Numbers n such that 123*2^n-1 is prime.at n=28A050587
- Numbers n such that 169*2^n-1 is prime.at n=18A050836
- Composite numbers x such that sigma(x+120) = sigma(x)+120.at n=22A054985
- Numbers k>11 such that x^k + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=37A057488
- Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)^2.at n=18A072849
- a(n) = number of m such that A080737(m) <= 2n.at n=37A080740
- G.f. (1-x)/(7*x^2-6*x+1).at n=6A102285
- Sum of the primes in ordered 3 X 3 prime squares.at n=18A105089
- a(n) = prime(2*n^2) - 2*n^2.at n=24A141086
- a(n) = 288*n - 1.at n=30A157997
- a(n) = 62*n^2 - 1.at n=11A158680
- Squarefree semiprimes k such that (m+1)^2-k is also a square, where m = ceiling(sqrt(k)).at n=42A180656
- Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than 5.at n=5A205338
- T(n,k)=Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than k.at n=50A205341
- Number of length 7 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.at n=4A205344
- Number of partitions p of n such that (number of numbers of the form 3k+2 in p) is a part of p.at n=34A241548
- Number of gap-free but not complete compositions of n.at n=23A251729