5399
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5400
- 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
- 5398
- Möbius Function
- -1
- Radical
- 5399
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 712
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into nonprime parts.at n=53A002095
- Numbers that are the sum of 11 positive 7th powers.at n=31A003378
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=29A007700
- Coordination sequence T1 for Zeolite Code MON.at n=45A008181
- Coordination sequence T6 for Zeolite Code VNI.at n=45A009912
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=13A020411
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=15A023281
- Primes that are palindromic in base 7.at n=19A029975
- 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=7A031571
- Primes of form x^2+86*y^2.at n=29A033255
- Lists of 4 primes in arithmetic progression; common difference 6.at n=19A033449
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=30A033499
- Base-7 palindromes that start with 2.at n=28A043016
- Last member of a sexy prime quadruple: value of p+18 such that p, p+6, p+12 and p+18 are all prime.at n=18A046124
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048225.at n=18A048235
- Numbers k such that the digits of k^3 occur with the same frequency.at n=49A052047
- Numbers k such that k^3 is a cube whose digits occur with an equal minimum frequency of 2.at n=8A052051
- Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=27A052353
- Primes for which some rearrangement of the digits (leading zeros not allowed) is the product of two consecutive primes.at n=34A053652
- Run through primes p; if the digits of p*q (where q is the prime following p) can be rearranged to form one or more primes r, append these primes r to the sequence.at n=37A053736