4584
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 6936
- 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
- 1520
- Möbius Function
- 0
- Radical
- 1146
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 108
- 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
- Low-temperature series for spin-1/2 Ising ferromagnetic susceptibility on diamond.at n=7A003220
- a(n) = floor(1000*log_2(n)).at n=23A004265
- Coordination sequence T2 for Zeolite Code LTN.at n=47A008141
- Coordination sequence T4 for Zeolite Code STI.at n=46A008237
- Pisot sequence T(3,7), a(n) = floor(a(n-1)^2/a(n-2)).at n=9A020746
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right).at n=24A029512
- Number of ordered positive integer solutions (m_1, m_2, ..., m_k) (for some k) to Sum_{i=1..k} m_i=n with |m_i-m_{i-1}| <= 1 for i = 2 ... k.at n=17A034297
- Triangle giving number of unbranched catapolytetragons, read by rows.at n=51A038766
- a(n)=(s(n)+3)/9, where s(n)=n-th base 9 palindrome that starts with 6.at n=43A043077
- a(n)=T(n,n), array T as in A049723.at n=38A049728
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=24A060672
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=20A063052
- Digits of sigma(n) end in phi(n).at n=9A067249
- Treated as strings, phi(n) is a substring of sigma(n).at n=17A074452
- Trajectory of 18 under iteration of the map k -> A087712(k).at n=23A077960
- Sum of numbers in n-th upward diagonal of triangle in A079826.at n=30A079825
- Diagonal of table A083362.at n=47A083363
- Number of configurations of a variant of the 3-dimensional 3 X 3 X 3 sliding cube puzzle that require a minimum of n moves to be reached, starting with the empty space at the center of one of the 6 faces of the combination cube.at n=8A091521
- Triangle, read by rows, of the coefficients of [x^k] in G100234(x)^n such that the row sums are 6^n-1 for n>0, where G100234(x) is the g.f. of A100234.at n=39A100235
- Numbers k such that (1_100.2_200.3_300 ... 8_800.9_900)*10^k + 1 is prime, i.e., 1 repeated 100 times, concatenated with 2 repeated 200 times, etc.at n=2A108055