6079
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6080
- 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
- 6078
- Möbius Function
- -1
- Radical
- 6079
- 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
- 67
- 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
- 793
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=40A001136
- G.f.: -1 + Product_{k>=1} (1 + prime(k)*x^prime(k)).at n=31A002099
- Number of arithmetic n-dimensional crystal classes.at n=5A004027
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=35A015616
- Number of triples of different integers from [ 2,n ] with no global factor.at n=35A015618
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=16A020411
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027157.at n=9A027164
- Primes of form k^2 - 5.at n=20A028877
- [ exp(3/16)*n! ].at n=6A030906
- 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 77.at n=10A031575
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=30A031896
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=33A031901
- Lower prime of a difference of 10 between consecutive primes.at n=74A031928
- Sums of 11 distinct powers of 2.at n=16A038462
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=31A038637
- Numbers whose base-4 representation contains exactly two 1's and four 3's.at n=23A045123
- Primes with first digit 6.at n=27A045712
- Primes followed by a [10,2,10] prime difference pattern of A001223.at n=9A052376
- Primes p whose period of reciprocal equals (p-1)/6.at n=37A056211
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to six complementary pairs of ratios which generate simple musical tones (scale steps): 8/7 and 7/4, 6/5 and 5/3, 16/13 and 13/8, 5/4 and 8/5, 4/3 and 3/2 and 11/8 and 16/11.at n=43A060233