8451
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
- 8
- Divisor Sum
- 12560
- Proper Divisor Sum (Aliquot Sum)
- 4109
- 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
- 5616
- Möbius Function
- 0
- Radical
- 939
- Omega Function (Ω)
- 4
- 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
- 57
- 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) = 10000*log_10(n) rounded to the nearest integer.at n=6A004229
- a(n) = 10000*log_10(n) rounded up.at n=6A004230
- Quadrinomial coefficients.at n=8A005726
- Numbers n such that n is a substring of its square in base 6 (written in base 10).at n=35A018830
- Fibonacci sequence beginning 3, 12.at n=15A022380
- Convolution of (F(2), F(3), F(4), ...) and A023533.at n=18A023655
- Numbers ending with '1' that are the difference of two positive cubes.at n=34A038856
- Number of positive integers <= 2^n of form 9 x^2 + 10 y^2.at n=17A054194
- Numbers k such that 2^k - 9 is prime.at n=19A059610
- Singular n X n matrices over GF(3).at n=2A060705
- Ninth column of quadrinomial coefficients.at n=6A064055
- Noninvertible 3 X 3 matrices over Z_n.at n=2A065499
- Smallest integer > 1 which is both n-gonal and centered n-gonal.at n=23A072277
- Index of first occurrence of n-th prime in A001203, the continued fraction for Pi.at n=38A107892
- Number of 3 X 3 matrices over Z(n) having determinant 0.at n=2A115221
- Subtriangle of generalized Catalan triangle CM(1,2) = A116880.at n=19A116872
- Generalized Catalan triangle, called CM(1,2).at n=25A116880
- a(0)=0. a(n) = a(n-1) + (sum of positive integers which are coprime to n, <= n and missing from {a(0),a(1),a(2),..,a(n-1)}).at n=45A122847
- a(n) = (n^4 + 2n^3 + 5n^2 + 4)/4.at n=13A123350
- a(n) = 50*n^2 + 1.at n=12A157916