16072
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35910
- Proper Divisor Sum (Aliquot Sum)
- 19838
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 0
- Radical
- 574
- Omega Function (Ω)
- 6
- 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
- 27
- 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
- Logarithmic numbers.at n=8A002104
- Expansion of e.g.f.: exp(tan(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+89/5!*x^5...at n=8A012936
- cosh(tan(x)+sin(x))=1+4/2!*x^2+24/4!*x^4+438/6!*x^6+16072/8!*x^8...at n=4A012945
- Number of partitions in parts not of the form 17k, 17k+1 or 17k-1. Also number of partitions with no part of size 1 and differences between parts at distance 7 are greater than 1.at n=46A035962
- Coefficients of a special case of Poisson-Charlier polynomials.at n=43A046716
- Number of ways to tile a 4 X 3n rectangle with right trominoes.at n=6A046984
- a(n) = least k such that GCD of sigma(k) = A000203(k) and phi(k) = A000010(k) equals n-th primorial = A002110(n).at n=3A081397
- Triangle read by rows: T(n,k) are the coefficients of Charlier polynomials: A046716 transposed, for 0 <= k <= n.at n=37A094816
- a(n) = n*(n+7)*(n+8)/6.at n=41A111396
- A007318 * A084938.at n=37A134380
- 7 times octagonal numbers: a(n) = 7*n*(3*n-2).at n=28A153797
- Number of (n+5)X12 0..1 matrices with each 6X6 subblock idempotent.at n=8A224576
- Cyclops numbers whose squares are cyclops numbers.at n=25A239827
- Number of compositions of n with exactly 2 transitions between different parts.at n=33A244714
- Number of length 5 0..n arrays least squares fitting to a zero slope straight line, with a single point taken as having zero slope.at n=12A245135
- Numbers n such that n!3 + 3^2 is prime.at n=40A247865
- Number A(n,k) of n X n upper triangular matrices (m_{i,j}) of nonnegative integers with k = Sum_{j=h..n} m_{h,j} - Sum_{i=1..h-1} m_{i,h} for all h in {1,...,n}; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=49A259844
- Triangle read by rows: T(n,k) = logarithmic polynomial G_k^(n)(x) evaluated at x=-1.at n=28A260323
- Row 2 in rectangular array A292929.at n=26A294065
- Sum of the third largest parts of the partitions of n into 9 parts.at n=39A326471