2733
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
- 3648
- Proper Divisor Sum (Aliquot Sum)
- 915
- 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
- 1820
- Möbius Function
- 1
- Radical
- 2733
- 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
- 40
- 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
- Coordination sequence T1 for Zeolite Code FER.at n=32A008106
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=19A020383
- Numbers k such that Fibonacci(k) == 2 (mod k).at n=43A023174
- Golc sequence in base 2. Left to right concatenation of n,int(log_2(n)),int(log_2(int(log_2(n)))),... in base 2.at n=41A028432
- 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 34.at n=24A031532
- Numbers k such that 21*2^k+1 is prime.at n=22A032360
- Concatenation of n and n + 6 or {n,n+6}.at n=26A032611
- Coordination sequence T4 for Zeolite Code SBE.at n=42A033607
- a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n+1/2.at n=29A036704
- Deficient numbers k such that k-s(k)-s(k-s(k)) = s(s(k))-s(k) or s(k-s(k))-k+s(k) = s(k)-s(s(k)).at n=4A037139
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=21A037257
- Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are distinct primes.at n=34A039833
- Denominators of continued fraction convergents to sqrt(237).at n=6A041443
- Numbers having three 5's in base 8.at n=7A043443
- Numbers having three 6's in base 9.at n=3A043479
- Numbers whose base-2 representation has exactly 11 runs.at n=7A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=8A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=18A043764
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n-1.at n=27A044365
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n+1.at n=27A044746