3411
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4940
- Proper Divisor Sum (Aliquot Sum)
- 1529
- 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
- 2268
- Möbius Function
- 0
- Radical
- 1137
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=31A000701
- Number of point-self-dual nets with 2n nodes. Also number of directed 2-multigraphs with loops on n nodes.at n=3A004105
- Number of bipartite polyhedral graphs with n faces.at n=8A007029
- a(n) = a(n-1)*a(n-2) + 1 with a(0) = a(1) = 0.at n=9A007660
- Numbers k such that the continued fraction for sqrt(k) has period 38.at n=35A020377
- a(n) = n*(21*n + 1)/2.at n=18A022279
- Number of (s(0), s(1), ..., s(n)) such that every s(i) is a nonnegative integer, s(0) = 2, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also sum of numbers in row n+1 of the array T in A026148.at n=8A026165
- Number of partitions of n into an even number of parts.at n=31A027187
- 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 57.at n=18A031555
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=10A031898
- Numbers whose base-15 representation has exactly 4 runs.at n=19A043671
- Numbers n such that string 1,1 occurs in the base 10 representation of n but not of n-1.at n=34A044343
- Numbers n such that string 1,1 occurs in the base 10 representation of n but not of n+1.at n=34A044724
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=14A045231
- Number of 2n-bead balanced binary necklaces of fundamental period 2n equivalent to reverse.at n=14A045680
- a(1) = 7; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=37A046257
- Numbers k such that k and k+1 both have 6 divisors.at n=37A049103
- Numbers k such that 297*2^k + 1 is prime.at n=19A053365
- Number of step shifted (decimated) sequences using a maximum of three different symbols.at n=8A056372
- Low-temperature partition function expansion for hexagonal lattice (Potts model, q=4).at n=22A057389