14825
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18414
- Proper Divisor Sum (Aliquot Sum)
- 3589
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11840
- Möbius Function
- 0
- Radical
- 2965
- Omega Function (Ω)
- 3
- 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
- 164
- 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
- a(n) = floor(n*(n-1)*(n-2)/7).at n=48A011889
- Half the number of (n+2) X 3 binary arrays with each 3 X 3 subblock having a sum in 2..7.at n=2A186788
- Half the number of (n+2)X5 binary arrays with each 3X3 subblock having a sum in 2..7.at n=0A186790
- T(n,k)=Half the number of (n+2)X(k+2) binary arrays with each 3X3 subblock having a sum in 2..7.at n=3A186796
- T(n,k)=Half the number of (n+2)X(k+2) binary arrays with each 3X3 subblock having a sum in 2..7.at n=5A186796
- Number of n-step four-sided prudent self-avoiding walks ending on the top side of their box.at n=10A191757
- Number of nX4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.at n=6A207881
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.at n=51A207885
- Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.at n=3A207889
- Products of 3 evil primes (A027699) p,q,r, such that numbers p*q, p*r, q*r, and p*q*r are odious (A000069).at n=21A230353
- Magic sums of 4 X 4 magic squares composed of squares.at n=26A271580
- G.f. A(x) satisfies: x = Sum_{n=-oo..+oo} (-x)^n * (1 + A(x)*x^n)^n.at n=10A355869
- a(n) = Sum_{k=0..n} ((-1)^(n - k) * A357339(n, k)).at n=4A357342
- Expansion of Product_{k>=1} 1 / (1 - x^(3*k-1))^2.at n=54A374018
- Number of subsets of the first n positive cubes whose sum is a positive cube.at n=24A378171