16864
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 19424
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7680
- Möbius Function
- 0
- Radical
- 1054
- Omega Function (Ω)
- 7
- 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
- 84
- 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
- Sums of distinct powers of 7.at n=39A033044
- Positive numbers having the same set of digits in base 2 and base 7.at n=33A037412
- Sums of 4 distinct powers of 7.at n=5A038483
- Numbers whose base-7 representation contains exactly four 1's.at n=30A043400
- Beginning of n consecutive quadratic residues mod A025046(n).at n=20A048282
- Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(2,2).at n=9A074360
- a(n) = n*(n - 1)*(n + 2)/2.at n=31A077414
- Number of triangles in an n X n unit grid that have minimal possible area (of 1/2).at n=12A088658
- Sum of the smallest parts of all compositions of n.at n=14A097939
- Terms in A099850 that are divisible by their position in that sequence.at n=6A099852
- Binomial transform of [1, 3, 4, 3, 2, 0, 0, 0, ...].at n=21A136395
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 0), (0, 1, -1), (1, 0, 0)}.at n=11A148057
- a(n) = 17*n*(n+1).at n=31A173308
- Right edge of the triangle A045975.at n=31A204557
- Smallest positive multiple of n whose base-7 representation contains only 0's and 1's.at n=16A244958
- Smallest positive multiple of n whose base-7 representation contains only 0's and 1's.at n=30A244958
- Smallest positive multiple of n whose base-7 representation contains only 0's and 1's.at n=33A244958
- Number of (3+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7.at n=10A252535
- Numbers which are representable as a sum of seventeen but no fewer consecutive nonnegative integers.at n=22A270302
- Number of trees with n vertices rooted at a non-edge.at n=11A304067