4530
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10944
- Proper Divisor Sum (Aliquot Sum)
- 6414
- 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
- 1200
- Möbius Function
- 1
- Radical
- 4530
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- 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 T1 for Zeolite Code ATV.at n=43A008043
- Coordination sequence T10 for Zeolite Code EUO.at n=42A008096
- Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-10*x)).at n=3A022454
- n written in fractional base 7/4.at n=42A024641
- Triangle T read by rows: differences of Motzkin triangle (A026300).at n=73A026105
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is a nonnegative integer, s(0) = 0, s(1) = 1, s(n) = 4, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-4), where T is the array defined in A026105.at n=7A026110
- a(n) = sum of the numbers between the two n's in A026366.at n=34A026369
- Coordination sequence T1 for Zeolite Code ITE.at n=46A027369
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=24A029695
- Multiplicity of highest weight (or singular) vectors associated with character chi_184 of Monster module.at n=38A034572
- Numbers with exactly 4 distinct palindromic prime factors.at n=8A046402
- An approximation to sigma_{5/2}(n): round( sum_{d|n} d^(5/2) ).at n=28A058273
- An approximation to sigma_{5/2}(n): ceiling( sum_{d|n} d^(5/2) ).at n=28A058274
- Sum of factorials of digits of n equals the largest prime factor of n.at n=8A074257
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=9A084048
- Successively larger 3-ball ground-state site swaps of A084501 in concatenated decimal notation.at n=20A084502
- Successively larger 3-ball indecomposable ground-state site swaps of A084511 in concatenated decimal notation.at n=7A084512
- Successively larger 3-ball 'prime' ground-state site swaps of A084521 in concatenated decimal notation.at n=6A084522
- Row sums of triangle A086606: the sum of the first n terms of the n-th self-convolution of the sequence formed by flattening triangle A086606.at n=6A086608
- 45-gonal numbers: n*(43*n-41)/2.at n=14A098924