8944
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 19096
- Proper Divisor Sum (Aliquot Sum)
- 10152
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 1118
- Omega Function (Ω)
- 6
- 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
- 91
- 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
- yes
- Odd
- no
Appears in sequences
- [ n(n-1)(n-2)(n-3)/13 ].at n=20A011923
- a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6).at n=25A026049
- Non-palindromic number and its reversal are both multiples of 13.at n=29A062912
- a(n) is the smallest index m such that Sum_{k=2..m} 1/PrimePi(k) >= n, where PrimePi()=A000720().at n=36A074633
- Expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1 - x^n).at n=52A078657
- Sum of cubes of the first n primes.at n=6A098999
- Structured truncated octahedral numbers.at n=11A100155
- The values of a in a^2 + b^2 = c^2 where b - a = 23 and gcd(a,b,c)=1.at n=7A117476
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x + 23)^2 = y^2.at n=11A118337
- a(1)=1, a(n) = a(n-1) + n^3 if n odd, a(n) = a(n-1) + n^2 if n is even.at n=15A140154
- Numerator of Hermite(n, 2/3).at n=5A158903
- Numbers k such that the two closest numbers above and below k, which are in A010784 and which have no common digit with k, have the same distance to k.at n=15A160343
- Half the difference between the larger and smaller term of the n-th amicable pair.at n=26A162884
- a(n) is the number of positive integers k such that k is equal to the number of 1's in the digits of the base-n expansion of all positive integers <= k.at n=22A165617
- G.f. satisfies: A(x) = 1 + x^2 + x*A(x)^2.at n=9A176697
- Partial sums of A004207.at n=46A176718
- Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=20A188250
- E.g.f. 1-sqrt(cos(2*x)) (even part).at n=4A192063
- a(n) = 8*n^2 + 7*n + 1.at n=33A194268
- a(n) = A306912(n) - 2.at n=24A209489