5693
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
- 2
- Divisor Sum
- 5694
- 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
- 5692
- Möbius Function
- -1
- Radical
- 5693
- 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
- 67
- 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
- 750
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sum of next n primes.at n=12A007468
- Coordination sequence for sigma-CrFe, Position Xa.at n=19A009962
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=10A020392
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=42A023264
- Expansion of g.f. 1/((1-x)*(1-6*x)*(1-8*x)*(1-10*x)).at n=3A023955
- Primes p such that the decimal digits of p^2 can be partitioned into two or more nonzero squares.at n=22A048646
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=11A050966
- Expansion of (1-x^3)/(1-x-x^2-x^3+x^5).at n=16A052972
- Primes p such that p^6 reversed is also prime.at n=24A059699
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=25A060518
- Primes p such that p^6 + p^3 + 1 is prime.at n=31A066100
- a(0) = 1; for n>0, a(n) = 1 + coefficient of x^n in expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1-x^n).at n=49A078658
- Non-palindromic primes which on subtracting their reversal gives perfect cubes.at n=10A080178
- Class 5+ primes (for definition see A005105).at n=21A081633
- a(n) = p - A072181(n), where p is the least prime > A072181(n) + 1.at n=40A082432
- a(n) = p - A072181(n), where p is the least prime > A072181(n) + 1.at n=41A082432
- Primes that can be written in the form 2*p^2 + 3*q^2 with p and q prime.at n=41A084866
- Primes p == 1 (mod 4) such that (p-1)/4 is prime.at n=40A090866
- Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.at n=24A100558
- Primes with digit sum = 23.at n=37A106762