5639
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
- 5640
- 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
- 5638
- Möbius Function
- -1
- Radical
- 5639
- 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
- 85
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 740
- 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 64.at n=25A020403
- Initial members of prime septuplets (p, p+2, p+8, p+12, p+14, p+18, p+20).at n=0A022010
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=39A023263
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=39A023264
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=39A028291
- Upper prime of a record difference between it and the second prime before it.at n=12A031134
- 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 75.at n=1A031573
- Upper prime of a difference of 16 between consecutive primes.at n=18A031935
- Number of integers m <= 2^n such that d(m) = 2^k for some k = 0, 1, 2, 3, ...at n=12A036538
- Numerators of continued fraction convergents to sqrt(61).at n=8A041106
- Numerators of continued fraction convergents to sqrt(244).at n=10A041456
- Primes p such that p+2 and 2p+1 are also prime.at n=41A045536
- p, p+2 and p+8 are primes.at n=42A046134
- p, p+8 and p+12 are primes.at n=36A046141
- a(n) = 2^(n-1)*(7*n-12) + 7.at n=8A048500
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=32A049437
- Primes of the form 4*k^2 + 163.at n=31A057604
- a(n) = p is the smallest prime such that p = n + h(n)^2 and p is the first prime following h(n)^2. The smallest immediate post-square primes with distance n = p - h(n)^2.at n=13A058056
- Safe primes which are also Sophie Germain primes.at n=22A059455
- Lesser of irregular twin primes.at n=19A060012