4529
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5184
- Proper Divisor Sum (Aliquot Sum)
- 655
- 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
- 3876
- Möbius Function
- 1
- Radical
- 4529
- 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
- 64
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=23A020391
- Numbers k such that Fib(k) == -13 (mod k).at n=18A023167
- a(n) = self-convolution of row n of array T given by A027960.at n=6A027978
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=41A031794
- E.g.f.: 1 - (1-x)*(tan(x) + sec(x)).at n=9A034428
- Multiplicity of highest weight (or singular) vectors associated with character chi_160 of Monster module.at n=38A034548
- Concatenations C1 and C2 are both prime (see the comment lines).at n=46A034816
- Number of ternary rooted trees with n nodes and height exactly 6.at n=14A036421
- Nearest integer to n^(5/2).at n=29A036488
- Coordination sequence T2 for Zeolite Code STF.at n=45A038441
- a(n)=(s(n)+3)/9, where s(n)=n-th base 9 palindrome that starts with 6.at n=37A043077
- a(n) = smallest number > a(n-1) such that a(1)*a(2)*...*a(n) + 1 and a(1)*a(2)*...*a(n) - 1 are primes.at n=23A051956
- Series for first perpendicular moment of square lattice bond percolation near a wall (eventually goes negative).at n=13A056599
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=28A058272
- Integers n > 196 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 196.at n=34A063049
- a(n) = (9*n^2 + 13*n + 6)/2.at n=31A064226
- Numbers n such that the area of the parallelogram formed by the vectors (n, prime(n)) and (n+1, prime(n+1)) is an integer square, i.e., Det[{{n, prime(n)},{n+1, prime(n+1)}}] is an integer square.at n=28A067805
- Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.at n=4A082967
- Polynexus numbers of order 7.at n=6A083200
- Numbers k such that (k! + 3)/3 is prime.at n=18A089085