8845
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 2315
- 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
- 6720
- Möbius Function
- -1
- Radical
- 8845
- Omega Function (Ω)
- 3
- 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
- 96
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = n*(21*n + 1)/2.at n=29A022279
- [ exp(9/16)*n! ].at n=6A030903
- Euler transform of A029767.at n=5A053483
- a(n) = n^4/2 - n^3 + 3*n^2/2 - n + 1 = (n^2 + 1)*(n^2 - 2*n + 2)/2.at n=12A058919
- Downward vertical of triangular spiral in A051682.at n=22A081272
- Row sums of the triangle A097883.at n=25A098404
- Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) + 27 for n > 0.at n=9A101849
- a(n) = 8*n^2 + 4*n + 1.at n=33A102083
- Numbers whose anti-divisors sum to a prime.at n=41A109350
- (Sum of the squares of the quadratic residues of prime(n)) / prime(n).at n=46A125614
- Numbers of the form m = p1 * p2 * p3 where for each d|m we have (d+m/d)/2 prime and p1 < p2 < p3 each prime.at n=38A128284
- Number of proper divisors of n-th even perfect number.at n=19A133033
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 0, 1), (1, 0, 1), (1, 1, -1)}.at n=7A150569
- Values of hypotenuse of primitive Pythagorean triples which can have four different shapes (that is, four different sets of "legs").at n=28A159781
- Nonprimes of the form (k^2+1)/2.at n=42A166080
- Composite numbers of form 8n+5 with all prime factors of form 8m+5.at n=35A175486
- Triangle read by rows: T(n,k) = number of n-element unlabeled connected N-free posets of height k (1 <= k <= n).at n=62A202178
- Triangle read by rows: T(n,k) = number of n-element unlabeled connected N-free posets of height k (2 <= k <= n).at n=51A202179
- Number of 3-element subsets that can be chosen from {1,2,...,6*n+3} having element sum 9*n+6.at n=44A204467
- Norm of coefficients in the expansion of 1 / (1 - 3*x + 2*I*x^2), where I^2=-1.at n=4A218136