11025
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
- 27
- Divisor Sum
- 22971
- Proper Divisor Sum (Aliquot Sum)
- 11946
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 105
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of permutations in the symmetric group S_n that have odd order.at n=8A000246
- Sum of first n cubes; or n-th triangular number squared.at n=14A000537
- Squares of double factorials: (1*3*5*...*(2n-1))^2 = ((2*n-1)!!)^2.at n=4A001818
- Successive denominators of Wallis's approximation to Pi/2 (reduced).at n=8A001902
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=24A005231
- Triangle of central factorial numbers |4^k t(2n+1,2n+1-2k)| read by rows (n>=0, k=0..n).at n=14A008956
- Squares formed by concatenating other squares, not ending in 0.at n=15A009404
- Expansion of Product_{k>=1} (1-x^k)^28.at n=4A010833
- Expansion of e.g.f. exp(arcsinh(arcsin(x))).at n=9A012248
- exp(arcsinh(arcsinh(x))) = 1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4+9/5!*x^5...at n=9A012252
- Expansion of e.g.f.: exp(tan(x)-log(x+1))=1+1/2!*x^2+9/4!*x^4-8/5!*x^5+225/6!*x^6...at n=8A013439
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=26A014148
- Squares of odd elements in Pascal triangle that are not 1.at n=37A014725
- Squares of odd triangular numbers.at n=7A014736
- Squares of numbers in array formed from odd elements to the right of middle of rows of Pascal triangle that are not 1.at n=23A014760
- Squares of numbers in array formed from odd elements to the right of middle of rows of Pascal triangle.at n=37A014761
- a(n) = (3*n)^2.at n=35A016766
- a(n) = (4*n + 1)^2.at n=26A016814
- a(n) = (5*n)^2.at n=21A016850
- a(n) = (6*n+3)^2.at n=17A016946