5885
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 1891
- 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
- 4240
- Möbius Function
- -1
- Radical
- 5885
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 173
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Carlitz-Riordan q-Catalan numbers (recurrence version) for q=4.at n=4A015085
- Numbers whose sum of divisors is a fifth power.at n=15A019423
- Pisot sequences E(6,10), P(6,10).at n=13A020718
- Expansion of 1/((1-7x)(1-8x)(1-10x)).at n=3A020838
- a(n) = (2*n+1) * (4*n-1).at n=27A033566
- Numbers that are palindromic and divisible by 5.at n=21A043040
- Palindromes with exactly 3 prime factors (counted with multiplicity).at n=40A046329
- Palindromes with exactly 3 distinct prime factors.at n=25A046393
- Integers whose sum of divisors is 6^5 = 7776.at n=10A048255
- Numbers n such that Catalan(n)-1 is prime.at n=32A053427
- Expansion of series related to Liouville's Last Theorem: g.f. Sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^3 *Product_{i=1..t} (1-x^i) ).at n=36A059820
- a(n) = n^2 + (n^2 with digits reversed).at n=38A061226
- n sets a new record for the number of integers k such that n = k + reverse(k).at n=22A067035
- a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or -1 if no such number exists.at n=45A072041
- Palindromic numbers which are products of an odd number of distinct primes.at n=45A075800
- Palindromic odd composite numbers that are the products of an odd number of distinct primes.at n=13A075808
- Palindromic odd numbers with exactly 3 prime factors (counted with multiplicity).at n=22A075814
- Palindromic odd composite numbers with an odd number of prime factors (counted with multiplicity).at n=24A075815
- a(n) = smallest multiple of prime(n) such that a(n) +1 is a multiple of prime(n+1).at n=27A077338
- Palindromes such that the difference between the consecutive terms are palindromes and this has not been the difference of any two consecutive terms earlier.at n=19A084992