5301
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8320
- Proper Divisor Sum (Aliquot Sum)
- 3019
- 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
- 3240
- Möbius Function
- 0
- Radical
- 1767
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 28
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Triangular numbers written backwards.at n=45A004158
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=26A014813
- Odd numbers k that divide 25^k - 1.at n=43A014962
- a(n) = n*(11*n+1)/2.at n=31A022269
- Duplicate of A022269.at n=30A026817
- Base-7 palindromes that start with 2.at n=26A043016
- Numbers whose base-2 representation has exactly 11 runs.at n=28A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=31A043686
- Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition.at n=30A057949
- Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition.at n=27A057950
- a(n) = n*(n+1)*(2*n+1)*(n^2+n+3)/30.at n=9A061927
- Sum of divisors of twice square numbers.at n=34A065765
- Pair the odd numbers such that the k-th pair is (r, r+2k) where r is the smallest odd number not included earlier: (1, 3), (5, 9), (7, 13), (11, 19), (15, 25), (17, 29), (21, 35), (23, 39), (27, 45), ... This is the sequence of the product of the members of pairs.at n=17A075320
- Least integer m such that between m and 2m there are n palindromes.at n=53A085764
- Sum of first n 5-almost primes.at n=24A086047
- Row sums of triangle A086634.at n=6A086635
- Numbers n such that (n / sum of digits of n) is a golden semiprime.at n=9A108780
- Shadow of Pi.at n=27A110621
- Number of functions f:[n]->[n] such that f[(x*y) mod n]=[f(x)*f(y)] mod n for all x,y in [n], for n=1,2,3,... Here [n] denotes {0,1,2,...,n-1}.at n=29A117986
- a(n) = 8*n^2 - 4*n - 3.at n=25A118057