6353
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6354
- 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
- 6352
- Möbius Function
- -1
- Radical
- 6353
- 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
- 54
- 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
- 827
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=35A007353
- Incorrect duplicate of A297408.at n=5A007355
- Powers of sqrt(7) rounded up.at n=9A017927
- Powers of fourth root of 7 rounded up.at n=18A018065
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=8A020390
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=39A023253
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=14A023284
- Number of 5-valent trees with n nodes.at n=15A036650
- Numerators of continued fraction convergents to sqrt(111).at n=7A041200
- Numerators of continued fraction convergents to sqrt(999).at n=7A042934
- Primes p such that p+6 and p+8 are also primes.at n=44A046138
- Primes whose consecutive digits differ by 2 or 3.at n=37A048414
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=33A049438
- Prime number spiral (clockwise, West spoke).at n=14A054570
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=32A057470
- McKay-Thompson series of class 28D for Monster.at n=28A058609
- Sum of n-th row of triangle of primes: 2; 2 3 2; 2 3 5 3 2; 2 3 5 7 5 3 2; ...; where n-th row contains 2n+1 terms.at n=40A061802
- Numbers k such that prime(k+2)-(k+2)*tau(k+2) = prime(k-2)-(k-2)*tau(k-2) where tau(k) = A000005(k) is the number of divisors of k.at n=18A067354
- a(1) = 2; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=43A074338
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626].at n=15A078854