4993
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4994
- 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
- 4992
- Möbius Function
- -1
- Radical
- 4993
- 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
- 165
- 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
- 668
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of positive integers <= 2^n of form x^2 + 2 y^2.at n=14A000067
- Numbers k such that 21*2^k - 1 is prime.at n=22A002238
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=14A002647
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=39A006562
- f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices.at n=31A011826
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFT = AlPO4-52 starting with a T3 atom.at n=5A018969
- Numbers k such that the continued fraction for sqrt(k) has period 85.at n=2A020424
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=44A023247
- Primes p such that p+1 is palindromic.at n=23A028981
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=14A031804
- Primes of form x^2+41*y^2.at n=32A033228
- Primes p from A031924 such that A052180(primepi(p)) = 19.at n=5A052235
- Shifts left under transform in formula line.at n=44A052336
- Primes p such that p-6, p and p+6 are consecutive primes.at n=34A053070
- Smallest factor of (2n)^(2n) + 1.at n=55A055386
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=43A055628
- Number of polydudes(1): a(n) is the number of polydudes with n cells. See the first link for the source of this sequence. The definition is unknown. Not the same as A091130.at n=9A056843
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=9A057698
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=8A059287
- Primes p such that p^6 reversed is also prime.at n=22A059699