8411
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 661
- 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
- 7752
- Möbius Function
- 1
- Radical
- 8411
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Tetrahedral numbers written backwards.at n=40A004161
- Numbers k such that 41*2^k+1 is prime.at n=8A032370
- Numbers whose set of base-7 digits is {3,4}.at n=33A032831
- Number of partitions satisfying cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5).at n=34A039838
- a(n) = Sum_{m=1..n, k=1..m} T(m,k), array T as in A049834.at n=40A049836
- Numbers n such that 141*2^n-1 is prime.at n=19A050596
- Triangle T(n,k) (1 <= k <= n) read by rows: T(n,k) is the number of permutations of [1..n] with k components.at n=29A059438
- A diagonal of A059438.at n=8A059439
- Numbers n such that 1n1, 3n3, 7n7 and 9n9 are all primes.at n=20A059677
- a(n) = A075443(A075451(n)).at n=22A075452
- Average of terms in n-th row of A077316.at n=46A077319
- Triangle read by rows. T(n, k) = A059438(n, k) for 1 <= k <= n, and T(n, 0) = n^0.at n=38A085771
- a(n) consecutive digits ascending beginning with the digit 7 give a prime.at n=4A120825
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1010-1111-0101 pattern in any orientation.at n=15A147434
- 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, 1), (-1, 1, 1), (0, 0, 1), (1, -1, 1), (1, 0, -1)}.at n=9A148362
- Number of 1-sided polyedges with n edges.at n=7A151537
- a(n) = 10*n^2 + 1.at n=29A158187
- a(n) = 841*n + 1.at n=9A158404
- Sum of all primes from n-th prime to (2*n-1)-th prime.at n=34A161463
- Numbers k such that k^p-p is prime, where p is product of the digits of k.at n=15A178328