16582
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 24876
- Proper Divisor Sum (Aliquot Sum)
- 8294
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8290
- Möbius Function
- 1
- Radical
- 16582
- 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
- 40
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Euler transform of A000332.at n=8A000391
- 4th powers written backwards.at n=12A002108
- Positive numbers k such that k and 5*k are anagrams in base 9 (written in base 9).at n=13A023082
- Numbers k such that 193*2^k+1 is prime.at n=24A032473
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=39A032767
- a(n) = ceiling((n + 1/2)^3).at n=24A034131
- Semiprimes whose digit reversal is a nontrivial power.at n=35A108849
- Semiprimes (A001358) whose digit reversal is a powerful(1) number (A001694).at n=41A115688
- Semiprimes (A001358) whose digit reversal is a square.at n=30A115710
- Numbers k such that phi(k) + prime(k) is a triangular number.at n=42A115908
- 1/4 the number of (n+1)X3 0..3 arrays with every 2X2 subblock having exactly two distinct clockwise edge differences.at n=4A209547
- 1/4 the number of (n+1)X6 0..3 arrays with every 2X2 subblock having exactly two distinct clockwise edge differences.at n=1A209550
- T(n,k)=1/4 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having exactly two distinct clockwise edge differences.at n=16A209553
- T(n,k)=1/4 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having exactly two distinct clockwise edge differences.at n=19A209553
- Number of superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that pi >= i.at n=50A238873
- a(n) = (sum_{k=0}^{n-1}(4*k^3-1)*C(n-1,k)*C(n+k,k))/n^2, where C(m,k) denotes the binomial coefficient m!/(k!*(m-k)!).at n=5A243101
- Numbers n such that n^2 + 3, n^3 + 3, n^4 + 3, n^5 + 3, n^6 + 3 and n^7 + 3 are semiprime.at n=3A253907
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 593", based on the 5-celled von Neumann neighborhood.at n=25A273121
- Triangle read by rows: row n gives the first n terms of the binomial transform of the n-th row of A116672.at n=41A289656
- Solution (a(n)) of the complementary equation in Comments.at n=42A298877