11523
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 4605
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7304
- Möbius Function
- -1
- Radical
- 11523
- 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
- 174
- 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
- EULER transform of 3, 2, 2, 2, 2, 2, 2, 2, ...at n=15A000713
- f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices.at n=41A011826
- a(n) = (5/6)*n^3+(5/2)*n^2+(8/3)*n.at n=23A092185
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x + 41)^2 = y^2.at n=10A129288
- Numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th prime as a substring of n. Also n may not contain any zero digits.at n=4A135015
- a(n) = nonnegative value y such that (A155135(n), y) is a solution to the Diophantine equation x^3+28*x^2 = y^2.at n=24A155137
- a(n) = nonnegative value y such that (A155136(n), y) is a solution to the Diophantine equation x^3+28*x^2 = y^2.at n=23A155138
- Numbers n with property that 4 n^2 are squares arising in A158470.at n=27A158517
- a(n) = (4*n^3 - 6*n^2 + 8*n + 3)/3.at n=21A161712
- a(n) = 20*n^2 + 3.at n=23A167573
- a(n) = n*(11*n-5)/2.at n=46A226492
- Numbers missing from A317415.at n=29A317417
- Numbers missing from A317416.at n=28A317418
- Number of widely recursively normal integer partitions of n.at n=45A332295
- a(n) is the least number k such that the continued fraction for phi(k)/k contains exactly n elements.at n=14A342867
- a(0) = a(1) = a(2) = 1; a(n) = a(n-3) + Sum_{k=0..n-4} a(k) * a(n-k-4).at n=22A343304