4569
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6096
- Proper Divisor Sum (Aliquot Sum)
- 1527
- 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
- 3044
- Möbius Function
- 1
- Radical
- 4569
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T4 for Zeolite Code DAC.at n=42A008070
- a(n) = floor(n*(n-1)*(n-2)/12).at n=39A011894
- a(n) = floor( Gamma(n+3/8)/Gamma(3/8) ).at n=8A020072
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=16A020403
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=24A023541
- Euler transform of {1, primes}.at n=12A030012
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 44.at n=30A031542
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 3).at n=40A035538
- Coordination sequence T1 for Zeolite Code STF.at n=45A038443
- Number of walks of length n on the simple cubic lattice terminating at height 2 above the (x,y)-plane.at n=4A052178
- Triangle of numbers arising in enumeration of walks on cubic lattice.at n=23A052179
- Consider all integer triples (i,j,k), j,k>0, with i^3=j^3+binomial(k+2,3), ordered by increasing i; sequence gives i values.at n=15A054234
- A companion sequence to A011896.at n=41A055610
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=23A059605
- Absolute value of difference between counts of uninterrupted runs of single nonprimes in A093183 and A093184.at n=10A093397
- Structured disdyakis dodecahedral numbers (vertex structure 5).at n=8A100163
- "Floor of hypotenuse": a(n)=A104863(n)-10*A104803(n).at n=28A104864
- Conjectured numbers n such that the trajectory of n as defined in A003508 is unique.at n=17A105233
- Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m.at n=25A111045
- Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid.at n=18A111746