1287
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2184
- Proper Divisor Sum (Aliquot Sum)
- 897
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 720
- Möbius Function
- 0
- Radical
- 429
- Omega Function (Ω)
- 4
- 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
- 145
- 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
- Binomial coefficients C(n,5).at n=13A000389
- a(n) = binomial coefficient C(n,8).at n=5A000581
- a(n) = (8*n+1)*(8*n+7).at n=4A001533
- Binomial coefficient C(2n+1, n-1).at n=5A002054
- Binomial coefficients C(2*n+5,5).at n=4A002299
- Sum of 12 nonzero 8th powers.at n=5A003390
- Degrees of irreducible representations of alternating group A_13.at n=15A003868
- Degrees of irreducible representations of symmetric group S_13.at n=27A003877
- Degrees of irreducible representations of symmetric group S_13.at n=28A003877
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=4A004927
- a(n) = n*(n+1)*(n+2)*(n+7)/24.at n=11A005582
- Number of factorization patterns of polynomials of degree n over F_2.at n=17A006167
- Number of distinct perforation patterns for deriving (v,b) = (n+2,n) punctured convolutional codes from (3,1).at n=3A007227
- Noncubes such that some permutation of digits is a cube.at n=42A007940
- Triangle of expansions of powers of x in terms of Chebyshev polynomials T_n (x).at n=50A008311
- Irregular triangle read by rows: one half of the coefficients of the expansion of (2*x)^n in terms of Chebyshev T-polynomials.at n=54A008314
- Expansion of (1-x^9 ) / (1-x)^9.at n=5A008491
- 7-dimensional centered tetrahedral numbers.at n=5A008501
- Positive integers k such that k-th triangular number is palindromic.at n=14A008509
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=10A010819