3024
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
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 9920
- Proper Divisor Sum (Aliquot Sum)
- 6896
- 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
- 864
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 8
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 110
- 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=27A000099
- a(n) = (5*n+1)*(5*n+2)*(5*n+3)*(5*n+4).at n=1A001512
- a(n) = n!/5!.at n=4A001725
- Squares written in base 9.at n=46A002442
- Coefficients for numerical differentiation.at n=3A002702
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=25A002706
- High temperature series for spherical model susceptibility on 3-dimensional simple cubic lattice.at n=5A003279
- a(n) = n*(n+1)^2*(n+2)^2/12.at n=7A004282
- Number of walks on square lattice.at n=3A005569
- Theta series of P_{9a} packing.at n=8A005951
- Number of paraffins.at n=10A006009
- Numbers k such that k^64 + 1 is prime.at n=30A006316
- Number of planar embedded labeled trees with n nodes: (2*n-3)!/(n-1)! for n >= 2, a(1) = 1.at n=5A006963
- Smallest k such that sigma(x) = k has exactly n solutions.at n=26A007368
- Inverse Moebius transform applied twice to squares.at n=39A007433
- Coordination sequence T3 for Zeolite Code AET.at n=38A008009
- Coordination sequence T4 for Zeolite Code DOH.at n=34A008081
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=40A008083
- Coordination sequence T4 for Zeolite Code MEI.at n=40A008149
- Coordination sequence T3 for Zeolite Code MTN.at n=34A008188