16177
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18496
- Proper Divisor Sum (Aliquot Sum)
- 2319
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13860
- Möbius Function
- 1
- Radical
- 16177
- Omega Function (Ω)
- 2
- 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
- 27
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 positions that are exactly n moves from the starting position in the Hockey Puck puzzle.at n=6A079738
- 9^n mod 2^n.at n=14A138998
- Number of ways to place zero or more nonadjacent 1,1 2,1 3,0 3,1 3,2 4,2 5,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155327
- Number of strictly increasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=39A188182
- Odd composite numbers n, such that n, n+d, n*d and n/d are all odious (A000069) for every divisor d of n.at n=29A231558
- Number of zerofree positive integers of at most n digits having product of digits less than or equal to sum of digits.at n=12A254622
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 817", based on the 5-celled von Neumann neighborhood.at n=24A273648
- Numbers k such that 3*10^k + 77 is prime.at n=18A293826
- Indices (starting at 0) of integers in the increasing sequence S of nonnegative numbers that are representable in base 3/2 with digits {0, H=1/2, 1}.at n=42A320035
- a(n) = n! * [x^n] exp(exp(x)*(x + (n/2 - 1)*x^2)).at n=6A320254
- Squarefree k > 1 with sigma(sigma(sigma(k))) < 3*k + 1.at n=22A320513
- Number of compositions of n with strictly increasing differences.at n=44A325547
- Number of compositions (ordered partitions) of n into distinct prime powers (including 1).at n=32A331925
- Expansion of e.g.f. exp(-x) / (1 + log(1 - 2*x)).at n=5A368446
- Numbers k such that k, k + 1, k + 2, and k + 4 are all semiprimes.at n=45A368670
- a(n) = sum of 2^(k-1) such that floor(n/prime(k)) is odd.at n=42A371906
- Square array A(n, k) = A048720(A065621(sigma((2n-1)^2)), sigma((2k-1)^2)), read by falling antidiagonals, (1,1), (1,2), (2,1), (1,3), (2,2), (3,1), etc.at n=40A379221