4186
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 3878
- 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
- 1584
- Möbius Function
- 1
- Radical
- 4186
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 126
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=46A000384
- Doubly triangular numbers: a(n) = n*(n+1)*(n^2+n+2)/8.at n=13A002817
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=13A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=13A004967
- Even triangular numbers.at n=45A014494
- a(n) = 2*n*(4*n - 1).at n=23A014635
- Binomial coefficients C(n,90).at n=2A017754
- Binomial coefficients C(92,n).at n=2A017808
- Smallest triangular number that begins with n.at n=40A018855
- Self-convolution of composite numbers.at n=17A023648
- 2nd elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3.at n=6A024391
- Number of partitions of n into an even number of parts.at n=32A027187
- Numbers whose base-8 representation has exactly 5 runs.at n=16A043627
- Number of cycle types of conjugacy classes of all even permutations of n elements.at n=32A046682
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 5 skipped primes.at n=37A050772
- 13-gonal (or tridecagonal) numbers: a(n) = n*(11*n - 9)/2.at n=28A051865
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=22A051941
- Number of partitions of n into parts all relatively prime to n.at n=44A057562
- McKay-Thompson series of class 45b for Monster.at n=45A058686
- Centered 9-gonal (also known as nonagonal or enneagonal) numbers. Every third triangular number, starting with a(1)=1.at n=30A060544