6653
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6654
- 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
- 6652
- Möbius Function
- -1
- Radical
- 6653
- 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
- 75
- 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
- 857
- 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 17.at n=36A020356
- Primes such that digits of p do not appear in p^3.at n=15A030087
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=38A030480
- [ exp(5/18)*n! ].at n=6A030882
- Upper prime of a difference of 16 between consecutive primes.at n=20A031935
- Numbers having three 1's in base 9.at n=35A043459
- Primes of the form k^2 + k + 11.at n=41A048059
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=35A049438
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 15.at n=12A050964
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=17A054810
- Numbers k such that (17^k + 1)/18 is a prime.at n=5A057183
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=33A057470
- Primes such that replacing each digit d with d copies of the digit d produces a prime. Zeros are not allowed.at n=40A057628
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=30A060518
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=24A063644
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the group sum divided by n for the n-th group.at n=41A074131
- If the least prime factor of ((prime(k)*prime(k+1))^2 + 1)/2 for k >= 2 is not yet in the sequence, then add it to the sequence.at n=10A077287
- Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n).at n=30A079153
- Positions of A080313 in A014486.at n=20A080312
- Class 6- primes (for definition see A005109).at n=13A081425