16888
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 31680
- Proper Divisor Sum (Aliquot Sum)
- 14792
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8440
- Möbius Function
- 0
- Radical
- 4222
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 172
- 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
- Number of divisors d of n! such that d-1 is prime.at n=21A156190
- Number of (w,x,y) with all terms in {0,...,n} and x != min(|w-x|, |x-y|).at n=25A213502
- Numbers of the form 3^j + 7^k, for j and k >= 0.at n=48A226816
- Numbers of the form 7^j + 9^k, for j and k >= 0.at n=27A226831
- Number of length 3+1 0..2*n arrays with the sum of the absolute values of adjacent differences equal to 3*n.at n=15A249983
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 190", based on the 5-celled von Neumann neighborhood.at n=7A270682
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 289", based on the 5-celled von Neumann neighborhood.at n=30A271127
- Sequence shifts left seven places under Weigh transform with a(n) = signum(n) for n<7.at n=40A316079
- Sum of the third largest parts of the partitions of n into 8 squarefree parts.at n=53A326450
- a(n) = Sum_{k=1..n} k^2 * floor(n/k)^2.at n=28A350123
- Composite numbers k such that the digits of k are in nondecreasing order while the digits of the concatenation of k's ascending order prime factors, with repetition, are in nonincreasing order.at n=27A372280
- Numbers t which satisfy the equation: t mod k = floor((t - k)/k) mod k (1 <= k <= t) only for k = 1 and t.at n=23A375007
- Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} j! * Stirling1(n, j) * Stirling1(k, j).at n=59A379820
- Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} j! * Stirling1(n, j) * Stirling1(k, j).at n=61A379820