3964
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6944
- Proper Divisor Sum (Aliquot Sum)
- 2980
- 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
- 1980
- Möbius Function
- 0
- Radical
- 1982
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 100
- 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 n such that n! has a square number of digits.at n=47A006488
- Coordination sequence T2 for Zeolite Code HEU.at n=41A008117
- Floor((e/2)^n).at n=27A014213
- Expansion of 1/((1-x)(1-7x)(1-12x)).at n=3A016255
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=42A023175
- Coordination sequence T2 for Zeolite Code ITE.at n=43A027370
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=1A031822
- Number of partitions of n into parts not of the form 19k, 19k+7 or 19k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=29A035976
- Convolution of A007054 (Super ballot numbers) with A000302 (powers of 4).at n=5A038679
- Expansion of 1/Sum_{k>=0} (-x)^Fibonacci(k).at n=14A080889
- Iccanobirt numbers (14 of 15): a(n) = R(R(a(n-1)) + R(a(n-2)) + a(n-3)), where R is the digit reversal function A004086.at n=16A102124
- Related to numbers of equicolorable trees (see Pippenger article for definition).at n=9A119854
- a(n) = n_t(n) where t() = triangular numbers A000217.at n=43A122627
- Number of gem-free Berge perfect graphs on n nodes.at n=7A123424
- Numbers n such that 1077*2^n - 1 is prime.at n=45A129930
- Row sums of triangle A131424.at n=26A131425
- Positions of 10 after the decimal point in the decimal expansion of Pi.at n=43A134210
- Number of (directed) Hamiltonian paths in the n-ladder graph.at n=44A137882
- A007318 * [1, 1, -1, 1, 1, 1, ...].at n=12A142974
- a(n) = 4*(10^n-9).at n=2A177114