16544
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 19744
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7360
- Möbius Function
- 0
- Radical
- 1034
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- Coordination sequence for MgCu2, Cu position.at n=32A009930
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=38A031561
- Number of aperiodic bracelets (or necklaces) with n red and blue beads such that the beads switch colors when bracelet is turned over.at n=10A066315
- Trajectory of n under the Reverse and Add! operation carried out in base 2 does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=32A075252
- Expansion of 1/( (1-x)*(1 + x^2 + x^3) ).at n=55A077889
- Expansion of (1-x)^(-1)/(1+2*x+x^2-x^3).at n=27A077929
- Sum of largest parts of all compositions of n.at n=12A102712
- Number of binary strings of length n with equal numbers of 00001 and 01001 substrings.at n=15A164198
- Numbers k such that sigma(tau(k)) equals the sum of distinct primes dividing k.at n=36A173325
- Number of nX3 binary arrays with no element equal to the mod 3 sum of its king-move neighbors.at n=9A183376
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=47A207391
- Number of 3Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=7A207392
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.at n=47A207519
- Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally and vertically.at n=2A253757
- Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally and vertically.at n=0A253759
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally and vertically.at n=3A253764
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally and vertically.at n=5A253764
- Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=0A253956
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=3A253961
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=5A253961