5729
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6084
- Proper Divisor Sum (Aliquot Sum)
- 355
- 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
- 5376
- Möbius Function
- 1
- Radical
- 5729
- 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
- 28
- 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
- a(n) = n*(7*n^2 - 1)/6.at n=17A004126
- Coordination sequence T1 for Zeolite Code MFS.at n=47A008173
- Coordination sequence T2 for Keatite.at n=42A009845
- Pseudoprimes to base 30.at n=31A020158
- Pseudoprimes to base 40.at n=23A020168
- Pseudoprimes to base 59.at n=28A020187
- Strong pseudoprimes to base 40.at n=8A020266
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=21A020366
- a(n) = Lucas(n+4) - (3*n+7).at n=13A023537
- T(2n+1,n+1), T given by A027011.at n=7A027016
- Duplicate of A023537.at n=13A027962
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=15A039664
- Denominators of continued fraction convergents to sqrt(393).at n=11A041747
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=11A045213
- Numbers n such that 241*2^n-1 is prime.at n=9A050879
- Composite and every divisor (except 1) contains the digit 7.at n=26A062676
- Numbers k such that sigma(k) and sigma(k+1) are nontrivial powers (A065496).at n=7A065522
- a(n) = n^3 + 6*n^2 + 6*n + 1.at n=16A090197
- Numbers k such that k^4 can be written as a sum of four distinct positive 4th powers.at n=40A096739
- a(n) = Sum_{i=1..n, j=1..n, gcd(i,j)=1} (n+1-i)*(n+1-j).at n=12A115004