16742
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 27432
- Proper Divisor Sum (Aliquot Sum)
- 10690
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7600
- Möbius Function
- -1
- Radical
- 16742
- Omega Function (Ω)
- 3
- 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
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Starting from generation 7 add previous and next term yielding generation 8.at n=31A048454
- Number of anisohedral polyiamonds with n cells.at n=23A075224
- Self-convolution of A086582; the first 2^n terms of this sequence gives the 2^n terms that follow the 2^n-th term of A086582.at n=44A086583
- The number of permutations p of {1,...,n} satisfying |p(i)-p(i+1)| is in {4,5} for i from 1 to n-1.at n=40A174708
- Generating primitive Pythagorean triangles by using (n, n+1) gives perimeters for each n. This sequence lists the sum of these perimeters for each n triangles.at n=21A193068
- G.f.: q-sinh(x) evaluated at q=-x.at n=41A198202
- Number of n X 4 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 1 and 1 1 0 vertically.at n=6A208003
- Number of nX7 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 1 and 1 1 0 vertically.at n=3A208006
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 1 and 1 1 0 vertically.at n=48A208007
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 1 and 1 1 0 vertically.at n=51A208007
- Number of nX6 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=6A223768
- Number of nX7 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=5A223769
- Number of trapezoidal words of length n.at n=47A260881
- Number of partitions of n such that each part is no more than 4 more than the sum of all smaller parts.at n=36A286097
- Number of ways to choose a strict partition of each part of a strict composition of n.at n=17A336343