10566
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22932
- Proper Divisor Sum (Aliquot Sum)
- 12366
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3516
- Möbius Function
- 0
- Radical
- 3522
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=47A017856
- Positive numbers k such that k and 6*k are anagrams in base 7 (written in base 7).at n=3A023072
- Numbers k such that (k!! + (k+1)!! + 1)/2 is prime.at n=18A076208
- a(n) = prime(prime(prime(A028815(n) - 1) - 1) - 1) - 1.at n=15A141133
- Number of n-digit numbers in a cycle (including fixed points) under the Kaprekar map A151949.at n=45A164732
- Number of compositions of n where differences between neighboring parts are in {-2,-1,1,2}.at n=23A214256
- Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X 4 array.at n=4A218060
- T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X k array.at n=32A218064
- Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 5Xn array.at n=3A218068
- a(n) = Sum_{i=0..n} digsum_6(i)^3, where digsum_6(i) = A053827(i).at n=56A231674
- Number of length n+3 0..5 arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=16A248534
- Number of rooted trees with n nodes such that for each inner node no more than k subtrees corresponding to its children have exactly k nodes.at n=15A248890
- Numbers k such that R_(k+2) + 6*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=19A256932
- Number of nX4 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=12A301786
- Numbers k such that the largest prime divisor of k^4+1 is less than k.at n=9A309562
- Number of integer partitions of n that can be partitioned into two or more blocks with equal sums.at n=34A321452
- a(n) = A328842(A276086(n)).at n=56A328844
- Compound Zeckendorf diagonal sequence in two dimensions, read by antidiagonals.at n=50A339574
- Moran numbers whose arithmetic derivative is also a Moran number (A001101).at n=14A349485
- Partial sums of A365412.at n=43A365442