11401
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12292
- Proper Divisor Sum (Aliquot Sum)
- 891
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10512
- Möbius Function
- 1
- Radical
- 11401
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 81
- 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
- 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=38A008778
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=37A020364
- Successive approximations to 11-adic integer sqrt(3).at n=4A034946
- a(n) = (2*n-1)^2 + (2*n)^2.at n=37A060820
- a(n) = (prime(n)^2 + 1)/2.at n=34A066885
- Numbers n for which there is a unique k such that n = k + reverse(k).at n=40A072427
- a(n) = 8*n^2 - 4*n + 1.at n=38A080856
- Downward vertical of triangular spiral in A051682.at n=25A081272
- Positions of sevens (ground states) in A084451.at n=20A084449
- Least k such that prime(n)^2 divides binomial(2k,k).at n=35A110494
- Binomial transform of [1, 3, 4, 3, 2, 0, 0, 0, ...].at n=19A136395
- a(n) = Bell(n) * Fibonacci(n).at n=7A140588
- Positive numbers y such that y^2 is of the form x^2+(x+281)^2 with integer x.at n=8A157348
- Diagonal sum of generalized Pascal triangle; (10^n,1).at n=8A164854
- 1+5*n+7*n^2.at n=39A168235
- a(n) = n*(4*n^2 - 3*n + 5)/6.at n=25A174723
- E.g.f.: Sum_{n>=0} (1+x)^(n!)*x^n/n!.at n=6A183605
- Numbers k^2 + (k+1)^2 that can be expressed as a sum of two squares in exactly one other way.at n=33A239527
- Number of length 7+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=9A248440
- Expansion of Sum_{i>=1} x^(i*(i+1)/2)/(1 - x^(i*(i+1)/2)) / Product_{j>=1} (1 - x^(j*(j+1)/2)).at n=54A281615