3303
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4784
- Proper Divisor Sum (Aliquot Sum)
- 1481
- 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
- 2196
- Möbius Function
- 0
- Radical
- 1101
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 74
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Centered octahedral numbers (crystal ball sequence for cubic lattice).at n=13A001845
- a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n^2 + 5)/6.at n=27A004006
- Powers of 3 written in base 4.at n=5A004658
- Coordination sequence T2 for Zeolite Code MOR.at n=37A008183
- Base-4 Armstrong or narcissistic positive numbers.at n=10A010343
- a(n) is the position of cube of the n-th prime among the powers of primes (A000961).at n=10A024625
- Positions of cubes among the powers of primes (A000961).at n=17A024627
- n written in fractional base 6/3.at n=39A024636
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=26A024846
- Quotient of 'base-3' division described in A032537.at n=25A032538
- Numbers k such that k(k+1)(k+2)...(k+9) / (k+(k+1)+(k+2)+...+(k+9)) is an integer.at n=30A032782
- Coordination sequence T7 for Zeolite Code STT.at n=38A038419
- Numbers having three 3's in base 10.at n=6A043503
- Numbers whose base-5 representation has exactly 6 runs.at n=18A043606
- Numbers k such that the string 0,3 occurs in the base 10 representation of k but not of k-1.at n=35A044335
- Numbers n such that string 0,3 occurs in the base 10 representation of n but not of n+1.at n=35A044716
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 4).at n=54A046778
- Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.at n=26A059329
- Average of terms in n-th row of A077316.at n=34A077319
- Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime.at n=18A090832