16695
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33696
- Proper Divisor Sum (Aliquot Sum)
- 17001
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 7488
- Möbius Function
- 0
- Radical
- 5565
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 66
- 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
- no
- Odd
- yes
Appears in sequences
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=35A005231
- Number of n-step mappings with 4 inputs.at n=18A005945
- Odd primitive abundant numbers.at n=24A006038
- Numbers n such that the Diophantine equation x^4+y^5=n^4 has solutions.at n=29A070756
- Odd primitive numbers such that n! divided by product of factorials of all proper divisors of n is not an integer.at n=21A075460
- Beginning with 3, a(i)*a(j) + 2 is prime for all i, j, i<>j.at n=7A083518
- G.f.: C_{2,o}(y) - see p. 158 of Fan reference.at n=6A135926
- Odd almost practical numbers.at n=31A174535
- Odd abundant numbers whose abundance is even.at n=34A174865
- Irregular triangle of odd primitive abundant numbers (A006038) in which row n has numbers with n distinct prime factors.at n=27A188439
- Years >= 1801 in which Christmas falls in Sukkot.at n=31A222419
- Odd numbers in A192274.at n=27A243104
- Odd numbers k such that the product of factorials of proper divisors of k does not divide k!at n=29A248694
- 30-gonal numbers: a(n) = n*(14*n-13).at n=35A254474
- Irregular triangle read by rows where row n lists all odd primitive abundant numbers with n prime factors, counted with multiplicity.at n=23A287646
- Odd recursive abundant numbers: odd numbers k such that A333926(k) > 2*k.at n=23A333950
- Sum of the prime numbers in, but not on the border of, an n X n square array whose elements are the numbers from 1..n^2, listed in increasing order by rows.at n=21A344847
- Odd cubefree abundant numbers.at n=23A357697
- Number of distinct lines passing through exactly two points in a triangular grid of side n.at n=24A362014
- Odd binary Niven numbers (A144302) k such that k/wt(k) is also an odd binary Niven number, where wt(k) = A000120(k) is the binary weight of k.at n=38A376618