3711
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4952
- Proper Divisor Sum (Aliquot Sum)
- 1241
- 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
- 2472
- Möbius Function
- 1
- Radical
- 3711
- 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
- 237
- 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
- Numbers that are the sum of 8 positive 6th powers.at n=36A003364
- In the '3x+1' problem, these values for the starting value set new records for number of steps to reach 1.at n=24A006877
- Coordination sequence T4 for Zeolite Code NES.at n=39A008208
- A B_2 sequence: a(n) = least value such that the sequence increases and pairwise sums of distinct terms are all distinct.at n=46A010672
- Partial sums of binary rooted tree numbers.at n=14A014167
- Number of loopless multigraphs with 6 nodes and n edges.at n=10A014396
- a(1)=1, a(n) = n*5^(n-1) + a(n-1).at n=4A014917
- First occurrence of exactly n identical terms in A007448.at n=25A016046
- Ceiling of Gamma(n + 1/3)/Gamma(1/3).at n=8A020134
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7,..., 1/(3n-2)} satisfy r < s, then r < k/m < s for some integer k.at n=40A024822
- Coordination sequence T3 for Zeolite Code MWW.at n=40A024988
- 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 40.at n=19A031538
- a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=36A033680
- In the '3x+1' problem, these values for the starting value set new records for number of steps to reach 1.at n=18A033958
- Numbers whose square contains no loops in its digits (assumes 1, 2, 3, 5, 7 have no loops and 0, 4, 6, 8, 9 do).at n=41A034905
- Sums of 10 distinct powers of 2.at n=30A038461
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=22A042945
- Numbers having three 7's in base 8.at n=8A043451
- Numbers n such that string 1,1 occurs in the base 10 representation of n but not of n-1.at n=37A044343
- Numbers n such that string 1,1 occurs in the base 10 representation of n but not of n+1.at n=37A044724