6373
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
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6374
- 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
- 6372
- Möbius Function
- -1
- Radical
- 6373
- 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
- 124
- 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
- 831
- 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 35.at n=14A020374
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=13A031422
- Lists of 4 primes in arithmetic progression; common difference 6.at n=26A033449
- Prime substrings of prime numbers in A037272.at n=25A037299
- Trajectory of 16 under prime factor concatenation procedure.at n=13A037925
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=22A046123
- Primes with multiplicative persistence value 5.at n=9A046505
- Primes whose consecutive digits differ by 3 or 4.at n=23A048415
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=34A052231
- Third term of balanced prime quartets: p(m-1)-p(m-2) = p(m)-p(m-1) = p(m+1)-p(m).at n=6A054802
- Primes p whose period of reciprocal equals (p-1)/6.at n=40A056211
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=10A057698
- Number of T_0-antichains on a labeled n-set.at n=5A059083
- Primes p such that x^59 = 2 has no solution mod p.at n=15A059312
- a(n) = Sum_{k=1..n} Sum_{d=1..k} (k mod d).at n=48A072481
- Primes of the form 9k^2 + 3k + 367, where k can be negative.at n=44A080020
- Class 5+ primes (for definition see A005105).at n=30A081633
- a(n) = n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4.at n=5A088582
- Primes of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4.at n=3A088583
- Happy-go-Lucky primes: primes arising in A091431.at n=34A091432