5527
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5528
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5526
- Möbius Function
- -1
- Radical
- 5527
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 731
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=9A002147
- Numbers that are the sum of 12 positive 7th powers.at n=34A003379
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=28A007353
- Coordination sequence T3 for Zeolite Code NON.at n=45A008214
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=49A011902
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=46A019546
- a(n) = sum of the numbers between the two n's in A026366.at n=38A026369
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=41A029705
- 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 73.at n=19A031571
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=11A031902
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=18A046016
- Primes with every digit a prime and the sum of the digits a prime.at n=30A062088
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=24A064396
- Numbers k such that 1000k+1, 1000k+3, 1000k+7, 1000k+9 are all primes.at n=3A064962
- Primes of form p = 2 + Sum_{k = 1..m} k^2 for some m.at n=7A065244
- Number of compositions (ordered partitions) of n that are concave-down sequences.at n=45A070211
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 8.at n=38A075588
- Class 5+ primes (for definition see A005105).at n=20A081633
- Arrange n^2 octagons that each have area 7 so that they leave (n-1)^2 square gaps each with area 2; a(n) is the total area of these polygons.at n=24A086640
- Happy-go-Lucky primes: primes arising in A091431.at n=30A091432