5735
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 7296
- Proper Divisor Sum (Aliquot Sum)
- 1561
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- -1
- Radical
- 5735
- 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
- yes
- 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
- 173
- 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
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=21A010004
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=56A011911
- Odd pentagonal numbers.at n=31A014632
- Prefix primes in base 8 (written in base 8).at n=39A024768
- Expansion of phi(x) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.at n=24A029552
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 15.at n=38A031513
- Numbers whose set of base-11 digits is {3,4}.at n=25A032835
- Replace n with concatenation of its divisors >1.at n=34A037277
- Replace n with concatenation of its odd divisors >1.at n=34A037284
- Replace n with concatenation of its nontrivial odd divisors.at n=69A037285
- Replace 2n+1 with concatenation of its divisors >1.at n=17A037287
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=26A038853
- Numbers ending with '5' that are the difference of two positive cubes.at n=18A038860
- a(n) = (n+5)^3 - n^3.at n=17A038867
- Numbers having three 7's in base 9.at n=23A043483
- Pentagonal numbers with even index.at n=31A049452
- Numbers n such that 85*2^n-1 is prime.at n=10A050568
- Numbers n such that 213*2^n-1 is prime.at n=27A050858
- a(n) = least positive integer solution k to h(k) = h(k-1)+h(k-2)+...+h(k-n), where h(n) is the length of n, f(n), f(f(n)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=5A078438
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={0,2}.at n=17A080006