3962
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6816
- Proper Divisor Sum (Aliquot Sum)
- 2854
- 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
- 1692
- Möbius Function
- -1
- Radical
- 3962
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = T(2n,n-1), T given by A026769.at n=5A026771
- Greatest number in row n of array T given by A026769.at n=12A027238
- Number of partitions of n into parts 5k+1 or 5k+2.at n=54A035371
- Numbers m such that m^2 ends in 444.at n=15A039685
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=26A045231
- A B2-sequence due to Rachel Lewis.at n=47A046185
- a(n) = 2*(n^2 - n + 1).at n=45A051890
- Numbers n > 9 such that x^n + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x +1 is irreducible over GF(2).at n=16A057487
- a(n) = Sum_{k=1..n} Sum_{d=1..k} (k mod d).at n=41A072481
- Row average values of A075652.at n=40A075651
- a(n) = 3*n^2 - 4*n + 3.at n=36A141631
- Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 9 ones in any 4 X 4 X 4 subtriangle.at n=6A153966
- T(n,m) = Sum_{j=0..m} (-1)^(j + m)*(j + 1)^n*binomial(m, j) + Sum_{j=0..(n-m)} (-1)^(j - m + n )*(1 + j)^n*binomial(n-m, j).at n=25A156820
- T(n,m) = Sum_{j=0..m} (-1)^(j + m)*(j + 1)^n*binomial(m, j) + Sum_{j=0..(n-m)} (-1)^(j - m + n )*(1 + j)^n*binomial(n-m, j).at n=23A156820
- S(n) - the sum of the areas of the polygons constructed from connecting with a straight line all identical members in the multiplicative table modulo n (finite field).at n=18A157023
- a(n) = 81n^2 - n.at n=6A157953
- a(n) = 49*n^2 - 7.at n=8A158484
- Number of ways to place 3 nonattacking wazirs on a 3 X n board.at n=10A172229
- Smith numbers of order 2.at n=16A174460
- Smallest k > 0 such that k^prime(n) + prime(n) is prime.at n=51A177832