11597
domain: N
Properties
Digital Properties
- Digit Count
- 5
- 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
- 11598
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11596
- Möbius Function
- -1
- Radical
- 11597
- 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
- 143
- 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
- 1396
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=28A020384
- a(n) = floor((1/n)*(S(n,1) + S(n,2) + ... + S(n,n))), where S(i,j) are Stirling numbers of second kind.at n=9A024426
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=13A031599
- Lower prime of a difference of 20 between consecutive primes.at n=22A031938
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=29A050962
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=6A052359
- Fifth term of strong prime quintets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=29A054812
- Primes of the form k^2 + prime(k) + 1.at n=9A063461
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=35A070934
- Primes which are the sum of the first k odd primes for some k.at n=8A071151
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=35A082244
- Smallest prime that is the sum of prime(n) consecutive primes.at n=19A082277
- Primes prime(j) such that prime(j)-j is a true power of prime.at n=11A083240
- Primes of the form 6*p - 1 such that p and 6*p - 5 are primes.at n=42A090609
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=28A095651
- Numbers n such that 100^n + 10^n - 1 is prime.at n=16A096594
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes.at n=35A100694
- Primes of the form f(n) = 9*n^4 - 444*n^3 + 8059*n^2 - 63714*n + 185371 listed by increasing value of n >= 0.at n=19A117225
- Primes of the form 2*p(k)+3*p(k+1)+4*p(k+2) for some k, where p(k)=A000040(k).at n=36A138665
- Primes of the form 210k + 47.at n=28A140850