5785
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 1775
- 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
- 4224
- Möbius Function
- -1
- Radical
- 5785
- 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
- 80
- 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) = floor(n*(n - 1)*(n - 2)/32).at n=58A011914
- Pseudoprimes to base 12.at n=27A020140
- Pseudoprimes to base 34.at n=41A020162
- Pseudoprimes to base 77.at n=27A020205
- Pseudoprimes to base 88.at n=30A020216
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=31A020360
- Place where n-th 1 occurs in A023125.at n=39A022787
- Numbers that are the sum of 2 nonzero squares in exactly 4 ways.at n=27A025287
- Numbers that are the sum of 2 nonzero squares in 4 or more ways.at n=28A025295
- Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.at n=27A025305
- Numbers that are the sum of 2 distinct nonzero squares in 4 or more ways.at n=28A025314
- Cube root of A030690.at n=43A030691
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 3 and 4 (mod 5).at n=49A035587
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=8A045108
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=24A045940
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048201.at n=19A048209
- Number of ordered pairs of integers (x,y) with x^2+y^2 < n^2.at n=43A051132
- a(n) = a(n-1) + n^2 if n prime else a(n-1) - n, starting with a(0) = 0.at n=41A051353
- Form a triangle with the numbers [0..n] on the base, where each number is the sum of the two below; a(n) is the number of different possible values for the apex.at n=10A066411
- Average of squares of successive primes: a(n) = (prime(n+1)^2 + prime(n)^2)/2, with n >= 2.at n=19A075892