6333
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8448
- Proper Divisor Sum (Aliquot Sum)
- 2115
- 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
- 4220
- Möbius Function
- 1
- Radical
- 6333
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 168
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=33A025212
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026736.at n=18A026746
- 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 52.at n=30A031550
- Number of binary [ n,3 ] codes without 0 columns.at n=25A034344
- Numbers having three 3's in base 10.at n=32A043503
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 12.at n=25A050961
- Main diagonal of table A083050.at n=14A083052
- Near-repdigit semiprimes with 3 as repeated digit.at n=19A105984
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=24A109182
- Triangle read by rows: row n lists partitions of n-th triangular number into triangular parts.at n=19A114738
- a(n) is the smallest integer k such that the n-th (forward) difference of the partition sequence A000041 is positive from k onwards.at n=21A119712
- Semiprimes s such that s-/+4 are primes.at n=40A125216
- Number of Motzkin paths with no peaks and with level steps at height 0 having three colors except that consecutive level steps at height 0 must have different colors.at n=10A125267
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=7A149742
- Numbers n such that n^3 - 4 and n^3 + 4 are prime.at n=26A161589
- A175366(n^2).at n=33A175367
- Expansion of 1/(1 - x - x^6 - x^11 + x^12).at n=37A175773
- a(1)=5; for n>0, a(n+1)=a(n)+p-1, where p is the smallest prime divisor of (a(n))^2-4.at n=51A177941
- G.f.: exp( Sum_{n>=1} 3^b(n) * x^n/n ) where b(n) = highest exponent of 3 in 2^n+1.at n=47A182185
- Fibonacci sequence with initial terms 10 and 21.at n=13A185691