4585
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 1751
- 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
- 3120
- Möbius Function
- -1
- Radical
- 4585
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 152
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = round(1000*log_2(n)).at n=23A004266
- a(n) = ceiling(1000*log_2(n)).at n=23A004267
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=34A020387
- a(n) = floor(C(2n,n)/2^(n+1)).at n=16A024504
- Numbers k such that 21*2^k+1 is prime.at n=23A032360
- Expansion of sum ( q^n / product( 1-q^k, k=1..5*n), n=0..inf ).at n=24A035297
- Number of partitions of n into parts not of the form 17k, 17k+8 or 17k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=31A035969
- Numbers of the form p*q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385).at n=17A046405
- a(n)^2 is the smallest square containing exactly n 2's.at n=4A048347
- McKay-Thompson series of class 20D for Monster.at n=40A058553
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 71 ).at n=22A063344
- Partial sums of A001157: Sum_{j=1..n} sigma_2(j).at n=21A064602
- Indices of semiprimes where largest gap occurs. Or, positions of records in A065516.at n=11A085809
- a(n) = (1/4!)*(A000522(4*n) + 6*A000522(2*n) + 8*A000522(n) + 9).at n=2A086896
- Number of distinct values of i*j + j*k + k*i with 1 <= i <= j <= k <= n.at n=46A100440
- a(n) is the least k such that k*(prime(n)#)^prime(n) - 1 is prime, where prime(n)# is the n-th primorial.at n=33A101047
- Right diagonal of triangle in A110339.at n=34A110341
- McKay-Thompson series of class 40B for the Monster group.at n=40A112179
- Least k such that the difference between consecutive semiprimes A065516(k) equals n, or 0 if no such k exists.at n=27A123375
- Sum of the quadratic nonresidues of prime(n).at n=31A125615