16558
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26352
- Proper Divisor Sum (Aliquot Sum)
- 9794
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- -1
- Radical
- 16558
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 159
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Multiplicity of highest weight (or singular) vectors associated with character chi_67 of Monster module.at n=37A034455
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=53A036811
- The (11^n)-th composite number.at n=4A065526
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=62A090495
- Triangle read by rows: Characteristic polynomials of lower triangular Bell number matrix.at n=22A101908
- Monotonic ordering of nonnegative differences 3^i-5^j, for 40>= i>=0, j>=0.at n=30A192149
- L.g.f.: Sum_{n>=1} x^n/n * Product_{d|n} (1 + d*x^(n/d))^d.at n=8A205481
- Number of partitions of n having (sum of odd parts) > (sum of even parts).at n=39A239262
- Number of partitions of n having (sum of odd parts) >= (sum of even parts).at n=39A239263
- Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7.at n=11A252271
- Expansion of Product_{k>=1} (1 - x^(2*k))^(2*k)/(1 - x^(2*k-1))^(2*k-1).at n=49A281781
- Record numbers of unordered triples {a, b, c} of distinct positive integers from 1 to n such that a*b = c*n.at n=49A292430
- Number of parts in all partitions of n with largest multiplicity four.at n=30A320374
- Number of integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1).at n=39A384884