11671
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12744
- Proper Divisor Sum (Aliquot Sum)
- 1073
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10600
- Möbius Function
- 1
- Radical
- 11671
- 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
- 81
- 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
- [ n(n+1)(n+2)...(n+5) / (n+(n+1)+(n+2)+...+(n+5)) ].at n=7A032771
- Squarefree conductors of quintic fields.at n=15A085715
- Partial sums of A000960.at n=34A099074
- a(n) = (2*n^3 + 5*n^2 - 17*n)/2.at n=21A162259
- Numbers n > 1 such that log_10(n!) is closer to an integer than at any smaller n.at n=14A177901
- Number of (n+2) X 4 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.at n=6A204364
- Number of (n+2) X 9 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.at n=1A204369
- T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.at n=29A204370
- T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.at n=34A204370
- Nonprime numbers with all divisors starting and ending with digit 1.at n=11A208261
- Smallest number k such that sopf(k)/digsum(k) = prime(n) where sopf(k) is the sum of the distinct primes dividing k and digsum(k) the sum of digits of k.at n=18A241049
- Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that Sum_{i=1..k-1}{sigma(Sum_{j=1..i}{d_(j)*10^(j-1)})} = Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(k-j+1)*10^(i-j)})} (see example below).at n=12A244068
- Numbers m > 1 such that the fractional part of log_10(m!) is less than at any smaller m > 1.at n=11A249829
- Expansion of Product_{k>=1} (1 + x^k) / (1 - x^(3*k)).at n=41A285445
- Number of ways to choose a constant rooted partition of each part in a strict rooted partition of n.at n=30A301767
- Composite numbers k with its divisors having the property that the last digit of every divisor is the same as the first digit of the next divisor.at n=11A307858
- The successive approximations up to 2^n for 2-adic integer 7^(1/3).at n=14A322934
- The successive approximations up to 2^n for 2-adic integer 7^(1/3).at n=15A322934
- Sum of the fourth largest parts of the partitions of n into 8 squarefree parts.at n=53A326449
- Values of w(k) when w(k-2), w(k-1), and w(k) are all odd, where w is A336957.at n=2A338071