3341
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3612
- Proper Divisor Sum (Aliquot Sum)
- 271
- 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
- 3072
- Möbius Function
- 1
- Radical
- 3341
- 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
- 136
- 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
- Number of partitions into non-integral powers.at n=7A000347
- Endpoints (leaves) in rooted trees with n nodes.at n=9A003227
- Numbers that are the sum of 12 positive 7th powers.at n=22A003379
- Coordination sequence T2 for Zeolite Code DDR.at n=36A008072
- Coordination sequence T2 for Zeolite Code HEU.at n=38A008117
- Coordination sequence T3 for Zeolite Code STI.at n=39A008236
- Coordination sequence T3 for Zeolite Code -PAR.at n=41A009857
- Numerators of coefficients in Taylor series expansion of exp(cosec(x)-cotanh(x)).at n=5A013536
- Numerator of the coefficient [x^(2n+1)] of the Taylor series sinh(cosec(x) - coth(x)).at n=2A013542
- Numbers k such that the continued fraction for sqrt(k) has period 11.at n=32A020350
- Concatenation of n and n + 8 or {n,n+8}.at n=32A032613
- Numbers n such that string 4,1 occurs in the base 10 representation of n but not of n-1.at n=36A044373
- Numbers n such that string 4,1 occurs in the base 10 representation of n but not of n+1.at n=36A044754
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=12A045246
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=13A049896
- T(n, k) = S(2n, n, k) for 0<=k<=n and n>=0, where S(p, q, r) is the number of upright paths from (0, 0) to (p, p-q) that do not rise above the line y = x-r.at n=32A050157
- T(n,k)=S(n,k,k-3), 2<=k<=n-3, n >= 5, array S as in A050157.at n=50A050175
- Numbers k such that k*2^m-1 is prime for exactly one exponent m in the range 0<=m<=k.at n=37A061157
- Numbers that are sums of repdigits of their digits (see Comments for precise definition).at n=46A061276
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=13A063352