9739
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9740
- 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
- 9738
- Möbius Function
- -1
- Radical
- 9739
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1201
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (12^k - 1)/11 is prime.at n=9A004064
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=49A013645
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=27A024600
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=26A025114
- Erroneous version of A004064.at n=9A028490
- 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=32A031595
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones.at n=0A031860
- Primes with indices that are primes with prime indices.at n=44A038580
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=27A046010
- Primes whose sum of digits is the perfect number 28.at n=25A048517
- Primes prime(k) for which A049076(k) = 3.at n=30A049079
- Numbers formed from binomial coefficients (mod 2+k) interpreted as digits in factorial base.at n=6A051257
- First member of a prime triple in a 2p-1 progression.at n=43A057326
- Primes p such that p^12 reversed is also prime.at n=26A059705
- Primes starting and ending with 9.at n=21A062335
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=27A074460
- Numbers n such that zero is never reached by iterating the mapping k -> abs(reverse(lpd(k))-reverse(gpf(k))). lpd(k) is the largest proper divisor and gpf(k) is the largest prime factor of k.at n=26A076425
- a(n) = prime(2*n*(n+1)+1).at n=24A078746
- Choose a(n) so that 2*3*5*13*...*a(n) - 1 is prime; a(n) is prime; and a(n) > a(n-1).at n=41A087898
- A nonsense sequence.at n=6A089689