4185
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 3495
- 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
- 2160
- Möbius Function
- 0
- Radical
- 465
- Omega Function (Ω)
- 5
- 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
- 38
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n, with three kinds of 1,2,3 and 4 and two kinds of 5,6,7,...at n=11A000711
- MacMahon's generalized sum of divisors function.at n=29A002127
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=34A002621
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=13A004927
- a(n) = n*(2*n + 3).at n=45A014106
- Expansion of x/(1 - 5*x - 2*x^2).at n=6A015535
- Expansion of 1/((1-3x)*(1-6x)*(1-12x)).at n=3A017954
- 9 times the triangular numbers A000217.at n=30A027468
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 4 (mod 5).at n=42A035568
- Number of partitions of n into parts not of the form 19k, 19k+9 or 19k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=30A035978
- Composites n such that A001414(n) is odd and divides n.at n=36A036346
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 5.at n=5A038636
- Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).at n=12A039752
- Base-6 palindromes that start with 3.at n=22A043012
- Numbers having three 1's in base 8.at n=38A043427
- Numbers whose base-8 representation has exactly 5 runs.at n=15A043627
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=12A045027
- Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity).at n=15A046347
- Coordination sequence T4 for Zeolite Code ISV.at n=45A047961
- Numbers k such that 2^k - k is prime.at n=9A048744