5563
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
- 5564
- 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
- 5562
- Möbius Function
- -1
- Radical
- 5563
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 116
- 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
- 734
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=16A020409
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=41A023255
- Integer part of ((4th elementary symmetric function of 2,3,...,n+4)/(2nd elementary symmetric function of 2,3,...,n+4)).at n=19A024181
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A024975.at n=25A024980
- 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=22A031571
- Primes that are concatenations of n with n + 8.at n=7A032631
- Primes of form x^2+59*y^2.at n=32A033238
- Numerators of continued fraction convergents to sqrt(185).at n=8A041342
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=21A046012
- Numerators of b(n) = (1/16^n)*(4/(8*n+1) - 2/(8*n+4) - 1/(8*n+5) - 1/(8*n+6)).at n=9A048581
- Primes p from A031924 such that A052180(primepi(p)) = 19.at n=8A052235
- Primes p such that p-6, p and p+6 are consecutive primes.at n=40A053070
- McKay-Thompson series of class 52A for Monster.at n=56A058705
- Engel expansion of Pi^e = 22.4592.at n=32A059197
- Primes of the form 2*k*prime(k) + 1.at n=9A062403
- Nearest integer to (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=35A062483
- Minimal representatives for the finite cycles in the permutation defined by A064413.at n=10A064794
- p, p+6 and p+10 are consecutive primes.at n=36A078562
- Primes which when concatenated with their reverse and incremented by 2 yield a new prime.at n=32A088883
- Primes which when multiplied by their largest digit and 1 is subtracted form another prime.at n=36A090195