16835
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25536
- Proper Divisor Sum (Aliquot Sum)
- 8701
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10368
- Möbius Function
- 1
- Radical
- 16835
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 159
- 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
- no
- Odd
- yes
Appears in sequences
- Number of compositions of n into 5 ordered relatively prime parts.at n=23A000743
- a(n) = least integer m such that the part after the decimal point of the n-th root of m starts with the digit 5.at n=22A034082
- Numbers whose base-7 representation contains exactly four 0's.at n=15A043396
- a(n) = Sum_{d|5} phi(d)*n^(5/d).at n=7A054604
- a(n) = Sum_{d|n} phi(d)*7^(n/d).at n=5A054614
- Triangle T(n,k) = Sum_{d|k} phi(d)*n^(k/d).at n=25A054619
- a(n) = (2*n + 1)*((2*n + 1)^4 + 4).at n=3A069071
- a(n) = n*(n+2)*(n-2)/3.at n=35A077415
- a(n) = A078252(n)/n.at n=5A078253
- a(1) = 3, a(n) = a(n-1) + 4*(a(n-1)-floor(a(n-1)^(1/3))^3).at n=21A096297
- Least k such that decimal representation of k*n contains only digits 0 and 5.at n=32A096684
- Least area/6 of primitive Pythagorean triangles with even leg 4n.at n=36A096898
- Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutations A130919/A130920.at n=13A130968
- Numbers k such that k and k+1 have 4 distinct prime factors.at n=15A140078
- 5 times heptagonal numbers: a(n) = 5*n*(5*n-3)/2.at n=37A153785
- a(n) = (2*n+1)*(2*n+3)*(2*n+5)/3.at n=17A162540
- a(n) = 10*2^n - 3*A083658(n+2).at n=11A167710
- A positive integer n is included if n, when written in binary, is made of run-lengths (lengths of runs of 0's as well as of runs of 1's) that form a permutation of some number of consecutive positive integers starting with 1.at n=35A175061
- a(n) = 8*n^2 + 14*n + 5.at n=45A181890
- Number of n-step one-sided prudent walks, avoiding exactly two consecutive west steps and two consecutive east steps.at n=12A190570