11285
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14136
- Proper Divisor Sum (Aliquot Sum)
- 2851
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8640
- Möbius Function
- -1
- Radical
- 11285
- Omega Function (Ω)
- 3
- 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
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 walks on cubic lattice.at n=36A005570
- Expansion of x/(1 - 5*x - 12*x^2).at n=6A015548
- Numbers k such that 95*2^k+1 is prime.at n=28A032397
- T(n,n-4), where T is the array in A055830.at n=36A055831
- Expansion of series related to Liouville's Last Theorem: g.f. Sum_{t>=1} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^7 * Product_{i=1..t} (1-x^i) ).at n=10A059824
- an=n-th smallest integer m=p1*p2*p3, product of 3 odd primes such that d+2m/d are all primes for d dividing 2m.at n=10A128278
- Primitive subsequence of A111105.at n=20A137559
- Number of partitions of n into parts occurring in '3x+1'-trajectory starting with n.at n=50A160000
- Number of lines through at least 2 points of a 7 X n grid of points.at n=32A160847
- Positive numbers y such that y^2 is of the form x^2+(x+113)^2 with integer x.at n=9A161479
- L.g.f.: log( Sum_{n>=0} x^(n^2) ), the log of the characteristic function of the squares.at n=37A162552
- Numbers n such that phi(n)=2*phi(n-1).at n=16A171271
- a(n) = 12*n^2 - 8*n + 1.at n=31A185212
- Hypotenuse of the smallest Pythagorean triple whose legs are m and 2m + n.at n=36A216260
- a(n) is the number of digits in the decimal representation of the smallest power of n that contains eight consecutive identical digits.at n=39A217183
- Shiraishi numbers: a parametrized family of solutions c to the Diophantine equation a^3 + b^3 + c^3 = d^3 with d = c+1.at n=20A226903
- a(n) is the smallest positive integer m such that if k >= m then a(k+1,n)^(1/(k+1)) <= a(k,n)^(1/k), where a(k,n) is the k-th term of the sequence {p | p and p+2n are primes}.at n=12A248855
- Numbers n that are the product of three distinct odd primes and x^2 + y^2 = n has integer solutions.at n=38A264498
- Molien series for invariants of finite Coxeter group A_7.at n=66A266776
- NSW pseudoprimes: odd composite numbers k such that A002315((k-1)/2) == 1 (mod k).at n=14A330276