15093
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24640
- Proper Divisor Sum (Aliquot Sum)
- 9547
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9072
- Möbius Function
- 0
- Radical
- 1677
- Omega Function (Ω)
- 5
- 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
- 40
- 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
- Number of mixed Husimi trees with n nodes; or rooted polygonal cacti with bridges.at n=10A000237
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=42A008778
- Odd heptagonal numbers (A000566).at n=39A014637
- Numbers ending with '3' that are the difference of two positive cubes.at n=31A038858
- Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=29A046961
- Indices of primes in sequence defined by A(0) = 77, A(n) = 10*A(n-1) - 23 for n > 0.at n=8A056258
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=19A063969
- Numbers which are sums of two and also sums of three positive cubes.at n=28A085336
- Numbers which are sums of two, three and four cubes.at n=17A085337
- Numbers which are sums of two, three, four and also sums of five cubes.at n=16A085338
- Numbers k such that 10^k + 7 is prime.at n=18A088274
- Heptagonal numbers for which the sum of the digits is also a heptagonal number.at n=20A117650
- Coefficients in a q-analog of the LambertW function, as a triangle read by rows.at n=47A152290
- a(n) = n*A007504(n)/2 = n*(sum of first n primes)/2.at n=26A156778
- a(n) = n*(10*n-3).at n=39A195018
- G.f.: A(x) = Sum_{n>=0} x^(n*(n+1)/2) / Product_{k=1..n} (1-x^k)^k.at n=31A206138
- Numbers that are both a sum and a difference of two positive cubes.at n=32A225908
- Number of partitions of n having standard deviation σ > 5.at n=44A238657
- a(n) = Sum_{k=0..n} binomial(n,2k)^2*binomial(n-k,k).at n=7A278405
- Positive numbers that are the sum of two (possibly negative) cubes in at least 2 ways (primitive solutions).at n=29A293647