14400
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 63
- Divisor Sum
- 51181
- Proper Divisor Sum (Aliquot Sum)
- 36781
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 10
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Sum of first n cubes; or n-th triangular number squared.at n=15A000537
- a(n) = (n!)^2.at n=5A001044
- Squares of tetrahedral numbers: a(n) = binomial(n+3,n)^2.at n=7A001249
- Squares written in base 5.at n=35A001740
- a(n) = n! * binomial(n,3).at n=3A001805
- Order of universal Chevalley group D_n (5).at n=1A003832
- Order of universal Chevalley group D_2(q), q = prime power.at n=3A003841
- Degrees of irreducible representations of Held group He.at n=26A003912
- The minimal numbers: sequence A005179 arranged in increasing order.at n=40A007416
- Square the entries of Pascal's triangle.at n=58A008459
- Square the entries of Pascal's triangle.at n=62A008459
- Triangle of central factorial numbers |t(2n,2n-2k)| read by rows.at n=20A008955
- Multiply successively by 1,1,2,2,3,3,4,4,..., n >= 1, a(0) = 1.at n=10A010551
- a(n) = n^2*(n+1).at n=24A011379
- Squares of elements in Pascal triangle (by row) that are not 1.at n=38A014719
- Squares of elements in Pascal triangle (by row) that are not 1.at n=42A014719
- Squares of elements to right of central element in Pascal triangle (by row) that are not 1.at n=17A014720
- Squares of elements to left of the central element in Pascal triangle (by row).at n=26A014721
- Squares of even elements in Pascal's triangle A007318.at n=27A014727
- Squares of even elements in Pascal's triangle A007318.at n=23A014727