4160
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 10668
- Proper Divisor Sum (Aliquot Sum)
- 6508
- 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
- 1536
- Möbius Function
- 0
- Radical
- 130
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 33
- 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
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=47A000064
- Number of ways of writing n as a sum of 5 squares.at n=39A000132
- Number of ways of writing n as a sum of 6 squares.at n=15A000141
- Expansion of Product (1 - x^k)^8 in powers of x.at n=57A000731
- a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3), n > 3, with a(0)=a(1)=a(2)=0, a(3)=1.at n=14A000749
- a(n) = (3*n+1)*(3*n+2).at n=21A001504
- a(n) = 2*n*(2*n+1).at n=32A002943
- Numbers that are the sum of 2 nonzero 6th powers.at n=7A003358
- Numbers that are the sum of at most 2 nonzero 6th powers.at n=12A004853
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=23A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=39A004855
- Number of (n-1)-bead black-white reversible strings; also binary grids; also row sums of Losanitsch's triangle A034851; also number of caterpillar graphs on n+2 vertices.at n=13A005418
- Nonperiodic autocorrelation functions of length n.at n=13A006606
- McKay-Thompson series of class 6A for Monster.at n=5A007254
- Coordination sequence T2 for Zeolite Code BIK.at n=39A008048
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=47A008083
- Coordination sequence T2 for Scapolite.at n=41A008263
- Theta series of {D_6}* lattice.at n=30A008425
- Number of points on surface of 4-dimensional cube.at n=8A008511
- Coordination sequence T2 for Zeolite Code RTE.at n=44A009891