3340
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 3716
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1328
- Möbius Function
- 0
- Radical
- 1670
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 136
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 11 positive 7th powers.at n=21A003378
- Number of ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=19A005337
- Coordination sequence T4 for Zeolite Code AFO.at n=38A008018
- Coordination sequence T2 for Zeolite Code MEI.at n=42A008147
- Coordination sequence T2 for Zeolite Code MTT.at n=35A008190
- Coordination sequence T1 for Moganite.at n=37A008258
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite FER = Ferrierite Na2Mg2[Al6Si30O72].18H2O starting with a T1 atom.at n=11A019130
- Coordination sequence T3 for Zeolite Code CGF.at n=40A019453
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=24A020387
- a(n) = Sum_{k=0..floor(n/2)} A026637(n, k).at n=12A026645
- Sequence satisfies T(a)=a, where T is defined below.at n=45A027597
- 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 28.at n=43A031526
- Concatenation of n and n+7.at n=32A032612
- Multiplicity of highest weight (or singular) vectors associated with character chi_97 of Monster module.at n=35A034485
- Number of primes less than 1000n.at n=30A038812
- Number of partitions satisfying cn(1,5) <= cn(2,5) + cn(3,5) and cn(4,5) <= cn(2,5) + cn(3,5).at n=30A039890
- Numbers n such that string 3,4 occurs in the base 10 representation of n but not of n-1.at n=37A044366
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n-1.at n=36A044372
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n+1.at n=36A044753
- Integers k such that in the list of divisors of k (in base 5), each digit 0-4 appears equally often.at n=7A045869