5335
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 1721
- 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
- 3840
- Möbius Function
- -1
- Radical
- 5335
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- a(n) = n*(n^2 + 1)/2.at n=22A006003
- Fishburn numbers: number of linearized chord diagrams of degree n; also number of nonisomorphic interval orders on n unlabeled points.at n=8A022493
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (composite numbers).at n=21A024461
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=44A024840
- 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 = (composite numbers).at n=20A025081
- Palindromic lucky numbers.at n=23A031161
- Lucky numbers that are both palindromic and nonprime.at n=18A031880
- Denominators of continued fraction convergents to sqrt(993).at n=7A042923
- Numbers that are palindromic and divisible by 5.at n=16A043040
- Numbers having three 7's in base 9.at n=9A043483
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=28A045131
- Palindromes with exactly 3 prime factors (counted with multiplicity).at n=37A046329
- Composite palindromes whose sum of prime factors is prime (counted with multiplicity).at n=26A046365
- Palindromes with exactly 3 distinct prime factors.at n=22A046393
- Starting from generation 8 add previous and next term yielding generation 9.at n=7A048455
- Odd numbers in sorted order from generation 2 onwards.at n=23A048462
- Fourth spoke of a hexagonal spiral.at n=42A056108
- Nonnegative numbers of form n*(n^2+-1)/2.at n=43A057587
- Smallest palindromic multiple of n-th prime.at n=24A062888
- Concatenation of n-th prime and its reverse.at n=15A067087