1726
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2592
- Proper Divisor Sum (Aliquot Sum)
- 866
- 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
- 862
- Möbius Function
- 1
- Radical
- 1726
- 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
- 42
- 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
- yes
- Odd
- no
Appears in sequences
- Related to graded partially ordered sets.at n=4A001827
- Number of paraffins.at n=15A006001
- Coordination sequence T8 for Zeolite Code MFS.at n=26A008180
- Coordination sequence T3 for Zeolite Code NON.at n=25A008214
- Coordination sequence for Paracelsian.at n=28A008260
- Coordination sequence for alpha-Mn, Position Mn4.at n=11A009953
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=37A011909
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=28A013645
- n is equal to the number of 1's in all numbers <= n written in base 6.at n=9A014890
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among quadruples.at n=13A015644
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=41A017853
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=0A020427
- Largest value of k for which Golay-Rudin-Shapiro sequence A020986(k) = n.at n=38A020991
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=8A023081
- Expansion of 1/((1-2x)(1-3x)(1-5x)(1-7x)).at n=3A025931
- a(n) = Sum_{k=floor((n+2)/2)..n} T(n, k), T given by A026998.at n=9A027009
- a(n) = n^2 + n + 4.at n=41A027689
- a(n) = Sum_{k=1..n+1} A027960(n+1, n+1+k).at n=8A027974
- Duplicate of A027974.at n=8A027983
- Sum of terms in period of continued fraction for sqrt(a(n)) increases.at n=45A031402