13823
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14448
- Proper Divisor Sum (Aliquot Sum)
- 625
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13200
- Möbius Function
- 1
- Radical
- 13823
- Omega Function (Ω)
- 2
- 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
- 151
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers k such that 41*2^k+1 is prime.at n=11A032370
- Sums of 12 distinct powers of 2.at n=26A038463
- Gaps of 3 in sequence A038593 (lower terms).at n=2A038645
- Gaps of 7 in sequence A038593 (upper terms).at n=34A038654
- Numbers ending with '3' that are the difference of two positive cubes.at n=29A038858
- a(n) = (n!)^3 - 1.at n=3A046033
- a(n) = min( x : x^4 + n^4 = 0 mod (x+n-1) ).at n=18A066487
- Nonprime solutions to k == -1 (mod phi(k+1)).at n=36A067930
- a(n) = n^3 - 1.at n=23A068601
- a(n) = n^3 + (-1)^(n+1).at n=24A123363
- n^3 - 1 divided by its largest cube divisor.at n=22A128972
- Main diagonal of table of length of English names of numbers.at n=36A129774
- a(1)=2. For n >= 2, a(n) = a(n-1) + 1 + (the largest prime among the first n-1 terms of the sequence {a(k)}).at n=16A133489
- Positive X-values of solutions to the equation 1!*X^4 - 2!*(X + 1)^3 + 3!*(X + 2)^2 - (4^2)*(X + 3) + 5^2 = Y^3.at n=23A135300
- A sequence of asymptotic density zeta(10) - 1, where zeta is the Riemann zeta function.at n=13A143036
- a(n) is the number of numbers removed in each step of Eratosthenes's sieve for 9!.at n=3A145536
- 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, 0, 0), (0, -1, 1), (0, 1, 1), (1, 1, -1), (1, 1, 0)}.at n=7A150856
- a(n) = 49*n^2 - 20*n + 2.at n=16A157373
- a(n) = 512n - 1.at n=26A158011
- a(n) = 576*n - 1.at n=23A158372