9743
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9744
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9742
- Möbius Function
- -1
- Radical
- 9743
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1202
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Site percolation series for hexagonal lattice.at n=13A006739
- a(1) = 1, a(n) = Sum_{k=1..n-1} Sum_{d|k} a(d).at n=13A014668
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 97.at n=33A031595
- Primes p such that p^10 reversed is also prime.at n=38A059703
- Primes p such that p^11 reversed is also prime.at n=38A059704
- Numbers k such that 13^k - 12^k is prime.at n=8A062579
- Sums of groups in A075635.at n=24A075636
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=28A088483
- p(k) such that 2*p(k)+3 and 2*p(k+1) + 3 are consecutive primes, where p(i) denotes the i-th prime.at n=38A089527
- Primes such that the sum of the predecessor and successor primes is divisible by 29.at n=36A112859
- Where records occur in A111390.at n=49A114111
- Primes p that divide Fibonacci[(p+1)/7].at n=13A125252
- Primes p for which Sum_{1 <= n < p} (n!|p) == 0 (mod p), where (n!|p) is the Legendre symbol.at n=27A131652
- Primes of the form 20x^2+20xy+47y^2.at n=36A139992
- Prime chain of 128 terms, including 104 distinct primes, consisting of the output of eight equations that alternate sequentially within a procedural expression of a single polynomial. The equations are either subsequences of x^2 - 79x + 1601 or transforms with one exception: 100x^2 - 2260x + 12959. The other four distinct equations are Euler-derived: 25x^2 - 1185x + 14083, 25x^2 - 775x + 6047, 100x^2 - 2280x + 13159, 100x^2 - 4160x + 43427.at n=16A140708
- Primes of the form 2*3*5*7*n+83.at n=23A141570
- Primes congruent to 28 mod 29.at n=42A142004
- Primes congruent to 9 mod 31.at n=40A142013
- Primes congruent to 12 mod 37.at n=31A142121
- Primes congruent to 26 mod 41.at n=34A142223