12075
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 23808
- Proper Divisor Sum (Aliquot Sum)
- 11733
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 2415
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of e.g.f. theta_3^(25/2).at n=3A015679
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=21A031173
- The number of decompositions of n into different parts relatively prime to n.at n=60A036998
- a(n) = (2*n+1)*(2*n+3)*(2*n+5).at n=10A061550
- Expansion of 1/((1-x)*(1+x+2*x^2-2*x^3)).at n=18A077910
- a(n) = (5*n+1)*(5*n+3)*(5*n+5).at n=4A079610
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+2401)^2 = y^2.at n=11A118630
- a(n) = A064688(n) - 1.at n=17A123557
- Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005.at n=26A125017
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+857)^2 = y^2.at n=5A129857
- a(n) = (4*n+1)*(4*n+3)*(4*n+5).at n=5A133766
- Triangle of numbers T(n,k) (n>=0, n>=k>=0) of transitive reflexive early confluent binary relations R on n labeled elements where k=max_{x}(|{y : xRy}|), read by rows.at n=24A135313
- 5 times hexagonal numbers: 5*n*(2*n-1).at n=35A152745
- a(n) = 343*n - 273.at n=35A157369
- Long legs of primitive Pythagorean triples (a,b,c) for which 2a+1, 2b+1 and 2c+1 are primes.at n=30A165237
- Partial sums of A000014.at n=21A173383
- Number of n X 6 binary arrays with each 1 adjacent to exactly one 1 vertically and one 1 horizontally.at n=8A183338
- Number of nX9 binary arrays with each 1 adjacent to exactly one 1 vertically and one 1 horizontally.at n=5A183341
- Number of pairs of intersecting diagonals in the exterior of a regular n-gon.at n=20A211381
- Number of intersections of diagonals in the exterior of a regular n-gon.at n=20A211382