4165
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6156
- Proper Divisor Sum (Aliquot Sum)
- 1991
- 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
- 2688
- Möbius Function
- 0
- Radical
- 595
- Omega Function (Ω)
- 4
- 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
- 126
- Smith Number
- no
- 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
- Numbers that are the sum of 7 positive 6th powers.at n=34A003363
- Number of paraffins (see Losanitsch reference for precise definition).at n=12A006010
- Coefficient of x^4 in (1-x-x^2)^(-n).at n=13A006504
- Expansion of (1-x^5) / (1-x)^5.at n=17A008487
- a(n) = floor(n*(n-1)*(n-2)/30).at n=51A011912
- Chance of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in poker is 1 in a(n) (rounded to nearest integer).at n=7A014353
- Pseudoprimes to base 18.at n=27A020146
- Pseudoprimes to base 67.at n=35A020195
- Number of partitions of n into parts of 14 kinds.at n=4A023012
- n written in fractional base 7/4.at n=40A024641
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = natural numbers, t = odd natural numbers.at n=27A024862
- 7 times triangular numbers: 7*n*(n+1)/2.at n=34A024966
- Dirichlet convolution of primes (with 1) with Bell numbers.at n=8A034758
- Number of partitions of n with equal number of parts congruent to each of 1 and 4 (mod 5).at n=41A035558
- Positive numbers having the same set of digits in base 7 and base 8.at n=33A037438
- Sums of 4 distinct powers of 4.at n=16A038472
- Numbers whose base-8 representation has exactly 5 runs.at n=4A043627
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=1A045032
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=35A045246
- a(n) = Sum_{k=1..floor(n/2)} T(n, 2k), array T as in A049777.at n=27A049779