5590
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11088
- Proper Divisor Sum (Aliquot Sum)
- 5498
- 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
- 2016
- Möbius Function
- 1
- Radical
- 5590
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 67
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/((1-5x)*(1-6x)*(1-7x)*(1-8x)).at n=3A028165
- Base-6 palindromes that start with 4.at n=25A043013
- Twice second pentagonal numbers.at n=43A049451
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 6 skipped primes.at n=32A050773
- Squarefree numbers having exactly three prime gaps.at n=24A073489
- Numbers having exactly three prime gaps in their factorization.at n=28A073495
- Nearest integer to Sum_{k=0..n} binomial(n,k)/2^(k*(k-1)/2).at n=44A079492
- Numbers k such that for any positive integers (a, b), if a * b = k then a + b is prime.at n=56A080715
- Numbers k such that numerator of Bernoulli(2k) is divisible by the square of 59, the second irregular prime.at n=7A093058
- a(n) = floor(11^n/9^n).at n=43A094997
- a(n) = (3+n)*(2 + 33*n + n^2)/6.at n=23A101860
- Numbers which when multiplied by any repunit prime Rp give a Smith number.at n=4A104167
- Absolute row sums of triangle A104505, which is equal to the right-hand side of the triangle A084610 of coefficients in (1+x-x^2)^n.at n=11A104508
- Number of partitions of 3-smooth numbers into parts not greater than 3.at n=27A117220
- (1/8)*number of lattice points with odd indices in a cubic lattice inside a sphere around the origin with radius 2*n.at n=21A120884
- a(n) = Sum_{i=n..n+3} Sum_{j=i+1..n+4} prime(i)*prime(j).at n=6A127350
- a(n) is the smallest number k larger than a(n-1) such that n*d(k)*sopf(k)=sigma(k), where d is the number of divisors (A000005) and sopf the sum of prime factors without repetition (A008472).at n=10A134382
- a(n) = n*(8*n+7).at n=26A139278
- a(n) = prime(prime(A028815(n) - 1) - 1) - 1.at n=32A141136
- Initial term of a series of exactly n consecutive non-Niven (or Harshad) numbers.at n=25A144378