16167
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 22896
- Proper Divisor Sum (Aliquot Sum)
- 6729
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10112
- Möbius Function
- -1
- Radical
- 16167
- 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
- 71
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 5).at n=51A035562
- a(n) = |{m : multiplicative order of 10 mod m is equal to n}|.at n=29A059892
- a(n) = floor(sqrt(2*n^5)).at n=42A172473
- a(n)=floor(3*n^2*(2+sqrt(3))).at n=37A172526
- Numerator of h(n+5) - h(n) where h(n) = Sum_{k=1..n} (1/k) are the Harmonic numbers.at n=19A189998
- Let P be a one-move "rider" with move set M={(1,2)}; a(n) is the number of non-attacking positions of three indistinguishable pieces P on an n X n board.at n=6A222309
- A256056(n)/2.at n=31A256055
- Products of three distinct primes p1, p2 and p3 (sphenic numbers) with p1<p2 and p3 is the concatenation of p1 with p2.at n=7A281592
- Inverse of A304085.at n=30A304086
- Number of integer partitions of n whose distinct parts are pairwise coprime.at n=48A304709
- a(n) = Sum_{p | A055204(n)} 2^(pi(p) - 1).at n=43A336510