7743
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 3057
- 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
- 4928
- Möbius Function
- -1
- Radical
- 7743
- 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
- 114
- 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
- Number of irreducible positions of size n in Montreal solitaire.at n=9A007049
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=34A017836
- Pseudoprimes to base 88.at n=36A020216
- Expansion of sum ( q^n / product( 1-q^k, k=1..6*n), n=0..inf ).at n=26A035298
- Numerators of continued fraction convergents to sqrt(158).at n=7A041290
- Numerators of continued fraction convergents to sqrt(632).at n=3A042212
- Numbers having three 7's in base 8.at n=35A043451
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=29A051873
- Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of x for n == 2 mod 4.at n=32A053371
- a(n) = n*(2*n^2 -3*n +7)/6 = C(n, 1) + C(n, 2) + 2*C(n, 3).at n=28A081489
- Odd composites m that divide Fibonacci(m)-1.at n=5A094394
- Odd n dividing Fibonacci(n)-1 but neither Fibonacci(n-1) nor Fibonacci(n+1).at n=0A094400
- Odd numbers k that divide Fibonacci(k) - 1 but not Fibonacci(k-1).at n=2A094409
- Nonprime numbers n such that phi(n) divides n^2 - 1, where phi(n) (A000010) is Euler's totient function.at n=13A098271
- Numbers k such that k*(k+8) gives the concatenation of two numbers m and m-8.at n=0A116239
- Number of permutations of length n which avoid the patterns 1243, 4132, 4321.at n=9A116771
- Positive numbers of the form 4*n^2 - 1 which are not semiprimes.at n=35A123754
- Smallest number whose ninth power has at least n digits.at n=35A130083
- a(n) = 16n^2 + 32n + 15.at n=21A141759
- a(n) = 2401*n^2 - 980*n + 99.at n=1A157375