16814
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 28848
- Proper Divisor Sum (Aliquot Sum)
- 12034
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- -1
- Radical
- 16814
- 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
- 66
- 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
- Theta series of A_6 lattice.at n=21A008446
- Sums of distinct powers of 7.at n=34A033044
- Positive numbers having the same set of digits in base 2 and base 7.at n=28A037412
- Sums of 2 distinct powers of 7.at n=11A038481
- Numbers whose base-7 representation contains exactly four 0's.at n=12A043396
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A048149.at n=39A049714
- Sums of two powers of 7.at n=16A055258
- Number of partitions of 2*n into minimal numbers.at n=42A099385
- Numbers k that divide 5^k + 3.at n=6A123052
- a(n) = n^5+n.at n=7A131471
- G.f.: exp( Sum_{n>=1} sigma(n*2^n)*x^n/n ).at n=8A176310
- T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors.at n=20A214352
- Number of 6X6X6 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors.at n=0A214356
- Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array.at n=23A219768
- Number of partitions of n into distinct parts with boundary size 7.at n=40A227564
- Number of partitions of 3n into exactly 5 parts.at n=27A256314
- Number of partitions of 4n into at most 5 parts.at n=19A256539
- Number of symmetrical n-celled polyominoes.at n=16A259090
- Palindromic numbers in bases 6 and 9 written in base 10.at n=16A259389
- Langton's ant on a three-dimensional grid: iterations where the ant passes through the origin.at n=9A308563