4420
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10584
- Proper Divisor Sum (Aliquot Sum)
- 6164
- 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
- 2210
- Omega Function (Ω)
- 5
- 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
- 95
- 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
- Fibonacci numbers written in base 5.at n=15A004688
- Number of alternating sign 2n+1 X 2n+1 matrices symmetric with respect to both horizontal and vertical axes (VHSASM's).at n=7A005161
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=47A005893
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=47A008084
- Coordination sequence T2 for Zeolite Code EDI.at n=47A008085
- Coordination sequence T2 for Zeolite Code MAZ.at n=46A008145
- Coordination sequence T2 for Zeolite Code THO.at n=47A008239
- Coordination sequence T3 for Zeolite Code THO.at n=47A008240
- Molien series for 6-dimensional complex reflection group 4.U_4 (3) of order 2^9 .3^7 .5.7.at n=43A008581
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=46A011257
- a(n) = floor(n*(n-1)*(n-2)/30).at n=52A011912
- Expansion of 1/(1-4*x)^(13/2).at n=3A020924
- Numbers that are the sum of 2 nonzero squares in exactly 4 ways.at n=17A025287
- Numbers that are the sum of 2 nonzero squares in 4 or more ways.at n=17A025295
- Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.at n=17A025305
- Numbers that are the sum of 2 distinct nonzero squares in 4 or more ways.at n=17A025314
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=21A026060
- a(n) = (n+1)*(5*n^2+4*n+1).at n=9A027849
- Numbers k such that 183*2^k+1 is prime.at n=24A032468
- Numbers whose set of base-16 digits is {1,4}.at n=17A032828