16252
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 13988
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7616
- Möbius Function
- 0
- Radical
- 8126
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of nonequivalent dissections of a polygon into n pentagons by nonintersecting diagonals up to rotation.at n=7A005038
- a(0) = 1, a(n) = 26*n^2 + 2 for n>0.at n=25A010016
- Second elementary symmetric function of 3,4,...,n+3.at n=15A024183
- Larger members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=35A054572
- The Shift-Moebius transform of powers of 2.at n=14A117177
- Largest number not the sum of n distinct nonzero squares.at n=30A129210
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=32A180319
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=20A192087
- Number of n X 2 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.at n=9A276293
- Hosoya triangle of Pell-Lucas type.at n=48A284126
- Hosoya triangle of Pell-Lucas type.at n=51A284126
- Array read by antidiagonals: T(n,k) = number of nonequivalent dissections of a polygon into n k-gons by nonintersecting diagonals up to rotation (k >= 3).at n=52A295224
- a(n) is the sum of all positive integers whose Collatz orbit has length n.at n=14A337673
- Number of bicolored graphs on n unlabeled nodes such that black nodes are not adjacent to each other.at n=7A339832
- Expansion of Sum_{k>0} x^(2*k)/(1-x^k)^5.at n=23A363605
- Number of integer partitions of n with the same number of adjacent equal parts as adjacent unequal parts.at n=50A385574
- Numbers k such that sigma(k) = phi(k) + tau(k)^4 + pi(k).at n=1A390773
- a(n) = Sum_{k=0..floor((2*n+1)/7)} binomial(2*k+1,2*n-7*k+1).at n=33A392488