3133
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3388
- Proper Divisor Sum (Aliquot Sum)
- 255
- 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
- 2880
- Möbius Function
- 1
- Radical
- 3133
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 123
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=50A000223
- Divisors of 2^24 - 1.at n=44A003532
- Tricapped prism numbers.at n=12A005920
- Fermat pseudoprimes to base 4.at n=23A020136
- Pseudoprimes to base 15.at n=11A020143
- Pseudoprimes to base 16.at n=31A020144
- Pseudoprimes to base 60.at n=10A020188
- Strong pseudoprimes to base 60.at n=3A020286
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=11A020370
- a(n+1) = a(n) converted to base 9 from base 7 (written in base 10).at n=17A023389
- Convolution of odd numbers and A001950.at n=14A023659
- Lucky numbers with size of gaps equal to 10 (upper terms).at n=37A031893
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=5A031902
- Concatenation of n and n + 2 or {n,n+2}.at n=30A032607
- Lucky numbers that are concatenations of n with n + 2.at n=4A032652
- Numbers having only digits 1 and 3 in their decimal representation.at n=25A032917
- Numbers whose base-15 expansion has no run of digits with length < 2.at n=26A033028
- Multiplicity of highest weight (or singular) vectors associated with character chi_20 of Monster module.at n=35A034408
- Denominators of continued fraction convergents to sqrt(781).at n=9A042507
- Numbers having three 3's in base 10.at n=4A043503