15503
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15960
- Proper Divisor Sum (Aliquot Sum)
- 457
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15048
- Möbius Function
- 1
- Radical
- 15503
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 177
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of partitions satisfying cn(1,5) + cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=39A039868
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n-3)/3.at n=19A048027
- a(n) = binomial(n+6,5) - 1.at n=14A062988
- Integers n > 10553 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10553.at n=8A063061
- Numbers n such that reverse(n) = phi(n) (mod n).at n=11A072392
- Let p(k)/q(k) = A096456(k)/A096463(k) be the k-th convergent to Pi/2; sequence gives numbers n such that |tan(p(n))|/p(n) sets a new maximal record.at n=7A096464
- Numbers k such that phi(k) = reversal(k)-k.at n=3A115926
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1,...,n}.at n=19A209995
- Number of n X 2 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=22A223764
- Total number of divisors d of m (counted with multiplicity), such that the prime signature of d is a partition of three and m runs through the set of least numbers whose prime signature is a partition of n.at n=13A309693
- Number of integer partitions of n of even length whose greatest multiplicity is at most half their length.at n=41A338914
- G.f. A(x) satisfies: 1 = Sum_{n>=0} (-x)^n * A(x)^n * (1 - (-x)^(n+1))^(n+1).at n=10A351633
- a(0) = 2, thereafter a(n+1) is the nearest integer to 4*a(n)/3.at n=31A390254