11153
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 607
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10548
- Möbius Function
- 1
- Radical
- 11153
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=37A020417
- Numerators of continued fraction convergents to sqrt(425).at n=8A041808
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=31A049791
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 4.at n=16A049931
- Nonzero numerators in asymptotic expansion of the Riemann-Seigel Z-function.at n=30A050276
- Expansion of (1-x)/(1-x^2-2*x^3).at n=27A078026
- Sum of numbers in n-th upward diagonal of triangle in A079826.at n=41A079825
- Sequence arising from enumeration of domino tilings of Aztec Pillow-like regions.at n=10A092442
- G.f.: A(x) = Product_{n>=1} 1/(1 - n*A007947(n)*x^n)^(1/n^2), where A007947(n) is the product of the distinct prime factors of n.at n=16A095895
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 0100-1100-0111-0010 pattern in any orientation.at n=15A147049
- a(n) = 338*n - 1.at n=32A157999
- a(n) = 66*n^2 - 1.at n=12A158693
- High water marks in A177413.at n=10A184952
- y-values in the solution to 17*x^2 - 16 = y^2.at n=6A199773
- Expansion of 1/G(1) where G(k) = 1 - (q*(1+q))^k / G(k+1).at n=12A238436
- Number of (n+1) X (5+1) 0..1 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements.at n=11A251125
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 774", based on the 5-celled von Neumann neighborhood.at n=7A273503
- Number of integer partitions of n where the median is twice the minimum.at n=40A361861