6379
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6380
- 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
- 6378
- Möbius Function
- -1
- Radical
- 6379
- 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
- 80
- 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
- 832
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=23A004112
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=28A015698
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=34A024814
- Primes with property that when cubed all even digits occur together and all odd digits occur together.at n=22A030482
- 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 79.at n=16A031577
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=11A031820
- Lists of 4 primes in arithmetic progression; common difference 6.at n=27A033449
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=15A046014
- Last member of a sexy prime quadruple: value of p+18 such that p, p+6, p+12 and p+18 are all prime.at n=22A046124
- Numbers k where cos(k) decreases monotonically to 0.at n=12A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=16A046959
- Number of partitions of n with parts (with repetitions) forming a division lattice (i.e., closed under GCD and LCM).at n=55A051839
- Number of partitions of n into distinct summands (A000009), plus 1 (apart from the first term).at n=55A052839
- Fourth term of balanced prime quartets: p(m-2)-p(m-3) = p(m-1)-p(m-2) = p(m)-p(m-1).at n=6A054803
- Primes p such that p^11 reversed is also prime.at n=27A059704
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=31A063537
- Prime(n) and prime(n+2) use the same digits.at n=12A069794
- a(n) = smallest positive integer that cannot be obtained using the number n at most n times and the operations +, -, *, /, where intermediate subexpressions must be integers.at n=13A071848
- a(n) = the n-th prime with sum of decimal digits = n, or 0 if no such number exists.at n=24A075361
- a(n) = smallest number m which can be obtained in n ways by subtracting twice a triangular number from a perfect square.at n=13A078714