3960
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 14040
- Proper Divisor Sum (Aliquot Sum)
- 10080
- 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
- 960
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 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
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=30A000099
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=21A001766
- Number of Hamiltonian paths in O_5 X P_n.at n=1A003744
- Number of n-node graphs without nodes of degree 2.at n=8A005637
- Number of achiral 2-connected planar maps with n edges.at n=11A006444
- Theta series of 20-dimensional lattice R_20 with det 1024 and minimal norm 4.at n=2A007038
- Coordination sequence T2 for Zeolite Code PAU.at n=46A008220
- Coordination sequence T5 for Zeolite Code PAU.at n=46A008223
- Theta series of A_5 lattice.at n=23A008445
- Coordination sequence T4 for Zeolite Code iRON.at n=44A009884
- Expansion of 1/((1-x)^3*(1-x^3)^2).at n=26A011779
- Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=11A011801
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=46A011905
- Expansion of (1-4*x)^(11/2).at n=14A020923
- Expansion of (1-4*x)^(15/2).at n=14A020927
- a(n) = n*(31*n-1)/2.at n=16A022288
- Perimeters of more than one primitive Pythagorean triangle.at n=3A024408
- Long leg of more than one primitive Pythagorean triangle.at n=33A024410
- a(n) = (prime(n+2)^2 - 1)/3.at n=26A024700
- Theta series of 10-d 11-modular Craig lattice A_10^(3).at n=8A028995