5705
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7872
- Proper Divisor Sum (Aliquot Sum)
- 2167
- 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
- 3888
- Möbius Function
- -1
- Radical
- 5705
- 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 binomial coefficient sum.at n=7A003161
- Coordination sequence T6 for Zeolite Code MFS.at n=47A008178
- Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).at n=47A014561
- Numbers whose set of base-8 digits is {1,3}.at n=38A032915
- Multiplicity of highest weight (or singular) vectors associated with character chi_58 of Monster module.at n=35A034446
- Number of partitions of n into parts 4k+1 or 4k+2.at n=48A035365
- Number of partitions satisfying cn(1,5) + cn(4,5) <= 1.at n=43A039856
- Numbers having four 1's in base 8.at n=24A043428
- Numbers k such that 30*R_k + 7 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=14A056680
- Numbers k such that the Lucas Aurifeuillian primitive part A of Lucas(k) is prime.at n=40A061442
- Pseudo-random numbers: MS C 6.0 version.at n=10A084275
- Smallest integer that starts with n and is divisible by every nonzero digit of n.at n=56A132378
- Number of different values of i^2+j^2+k^2+l^2+m^2 for i,j,k,l,m in [0,n].at n=36A132432
- Numbers n such that sum of the cubes of the digits of n^3 is a perfect cube.at n=32A164882
- Partial sums of A028388 good primes (version 2).at n=28A172166
- Number of nondecreasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.at n=26A188334
- a(n) = 6*n^2 + 10*n + 5.at n=30A201279
- Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| <= w+x+y.at n=19A213487
- Numbers k such that k^3 + 3*k + 3^k is prime.at n=17A220701
- Antiharmonic mean of the divisors of A228023(n) (the n-th primitive antiharmonic number).at n=35A228024