4566
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
- 8
- Divisor Sum
- 9144
- Proper Divisor Sum (Aliquot Sum)
- 4578
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1520
- Möbius Function
- -1
- Radical
- 4566
- Omega Function (Ω)
- 3
- 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
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T4 for Zeolite Code GOO.at n=46A008114
- Coordination sequence T1 for Zeolite Code TON.at n=42A008241
- Coordination sequence T1 for Zeolite Code iRON.at n=47A009881
- Coordination sequence for FeS2-Pyrite, Fe position.at n=31A009957
- Number of partitions of n into parts having a common factor.at n=58A018783
- Pseudoprimes to base 67.at n=36A020195
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=24A020389
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=35A023177
- Expansion of 1/((1-3x)(1-6x)(1-7x)(1-8x)).at n=3A028074
- 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 66.at n=19A031564
- Coordination sequence T4 for Zeolite Code STF.at n=45A038439
- a(n)=(s(n)+3)/9, where s(n)=n-th base 9 palindrome that starts with 6.at n=41A043077
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 4).at n=50A046768
- a(n) = Sum_{d|n} p(d), where p(d) = A000041 = number of partitions of d.at n=28A047968
- a(n) = 1 + (number of partitions of n, n>0).at n=29A052810
- Numbers n such that n | 11^n + 10^n + 1.at n=11A057294
- McKay-Thompson series of class 42A for Monster.at n=43A058671
- Table by antidiagonals of rows of sequences where each row is binomial transform of preceding row and row 1 is (1,2,1,2,1,2,1,2,...).at n=60A061298
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,7.at n=8A064240
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,15.at n=17A064244