5765
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
- 6924
- Proper Divisor Sum (Aliquot Sum)
- 1159
- 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
- 4608
- Möbius Function
- 1
- Radical
- 5765
- 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
- 142
- 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
- Coordination sequence T7 for Zeolite Code EUO.at n=47A008102
- Coordination sequence T1 for Zeolite Code NON.at n=46A008212
- a(n) = floor(binomial(n,3)/3).at n=48A011849
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=52A011905
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=22A020366
- n written in fractional base 8/5.at n=53A024647
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 7.at n=13A051972
- Numbers k such that k^2 contains only digits {2,3,5}.at n=5A053918
- Second spoke of a hexagonal spiral.at n=44A056106
- Numbers k such that 8*10^k + 3*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A056723
- Composite and every divisor (except 1) contains the digit 5.at n=41A062672
- a(1)=1; a(n) = a(n-1) + [sum of all decimal digits present so far in the sequence].at n=33A072921
- Row sums of triangle A084408.at n=23A084411
- Numbers n such that n and n+1 both are members of A074997; i.e., on the one hand n-1 and n+1 have the same prime signature, on the other hand n and n+2 have the same prime signature.at n=34A086540
- Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 6.at n=24A091774
- G.f. satisfies A(x) = 1 + x*A(x)*A(x^2)*A(x^3)*...*A(x^n)*...at n=15A091865
- Numbers n such that 5*10^n + 4*R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=14A103015
- Semiprimes in A056106.at n=15A113524
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=31A117807
- Numerator of sum of reciprocals of first n pentatope numbers A000332.at n=44A118411