5387
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
- 5388
- 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
- 5386
- Möbius Function
- -1
- Radical
- 5387
- 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
- 147
- 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
- 710
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Indices of prime Fibonacci numbers.at n=23A001605
- Number of n-term 2-sided generalized Fibonacci sequences.at n=7A005189
- Arkons: number of elementary maps with n-1 nodes.at n=10A006343
- Worst cases for Pierce expansions (denominators).at n=22A006538
- Worst cases for Pierce expansions (denominators).at n=23A006538
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=43A006562
- Coordination sequence T1 for Zeolite Code MEL.at n=47A008150
- Floor((e/2)^n).at n=28A014213
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=47A023244
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=44A023256
- [ (4th elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {first n+3 primes}.at n=4A024454
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A000201 (lower Wythoff sequence).at n=21A025084
- [ exp(1/15)*n! ].at n=6A030915
- 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 73.at n=6A031571
- Lists of 4 primes in arithmetic progression; common difference 6.at n=17A033449
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=16A046020
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=18A046122
- Upper members of a "good pair" of the form (k, 2*k +- 1).at n=35A046862
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=39A047948
- Primes of the form 4*k^2 + 4*k + 59.at n=31A048988