11250
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 30459
- Proper Divisor Sum (Aliquot Sum)
- 19209
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3000
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 161
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{k=1..n-1} k^2*sigma(k)*sigma(n-k).at n=9A000477
- Triangle of coefficients in expansion of (3+5x)^n.at n=18A013622
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*3^j.at n=17A038245
- Numerators of continued fraction convergents to sqrt(606).at n=9A042162
- Numbers k such that the number of divisors of k and sum of 4th powers of divisors of k are relatively prime.at n=21A046681
- Sum{T(i,n-i): i=0,1,...,n}, array T given by A047000.at n=15A047001
- Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers.at n=16A057370
- Consider the solutions to k = a+b = x*y and a*b = k*(x+y) where k, a, b, x, and y are all positive integers, ordered by increasing k and, in case of ties, by increasing x. Sequence gives values of a*b.at n=8A057421
- Numbers n such that the squarefree kernel of n is equal to the number of divisors of n.at n=18A070226
- Stirling2 triangle with scaled diagonals (powers of 5).at n=17A075500
- Third column of triangle A075500.at n=3A075911
- Smallest multiple of n using all the digits of all its divisors (a permutation of the concatenation of its divisors), or 0 if no such number exists.at n=9A077351
- Maximum number of regions into which the plane can be divided using n (concave) quadrilaterals.at n=38A077591
- Numbers n such that n and tau(n) = A000005(n) have the same prime factors (ignoring multiplicity).at n=39A081381
- a(1) = 1 and then numbers such that the product of n terms starting with the n-th term is an n-th power. The smallest numbers not occurring earlier are used first.at n=8A082236
- The largest number with the prime signature of n! using primes <= n.at n=5A085078
- Numbers k such that k!!!!!! + 1 is prime.at n=40A085150
- Product of the anti-divisors of n.at n=34A091507
- Denominators of n divided by the product of the anti-divisors of n.at n=34A093396
- Number of terms in A095810 which have n digits.at n=5A113023