6673
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6674
- 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
- 6672
- Möbius Function
- -1
- Radical
- 6673
- 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
- 31
- 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
- 860
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Dying rabbits: a(0) = 1; for 1 <= n <= 12, a(n) = Fibonacci(n); for n >= 13, a(n) = a(n-1) + a(n-2) - a(n-13).at n=20A000044
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=44A001136
- Numerators of expansion of exp x / sin x.at n=16A007418
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite APD = AlPO4-D [Al16P16O64] starting from a T2 atom.at n=5A018979
- First row of spectral array W(e-1).at n=20A022161
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=29A031808
- Primes that are concatenations of n with n + 7.at n=9A032630
- Multiplicity of highest weight (or singular) vectors associated with character chi_143 of Monster module.at n=37A034531
- Numerators of continued fraction convergents to sqrt(724).at n=7A042394
- Numbers whose base-9 representation has exactly 5 runs.at n=19A043634
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=17A052232
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=32A058272
- Numerators of coefficients of expansion of sinh(x)/sin(x) (even powers only).at n=8A069853
- Initial terms of groups in A075639.at n=41A075641
- Primes which can be expressed as a sum of distinct powers of 3.at n=33A077717
- a(n) = prime(n*(n+1)/2 + n).at n=39A078723
- a(1)=2; for n>1, a(n+1) = least prime > a(n) and congruent to a prime modulo prime successor of a(n).at n=10A080898
- Primes whose base-17 expansion is a (valid) decimal expansion of a prime.at n=38A090713
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=1A098936
- Partial sums of A000960.at n=28A099074