4164
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9744
- Proper Divisor Sum (Aliquot Sum)
- 5580
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1384
- Möbius Function
- 0
- Radical
- 2082
- 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
- yes
- Odd
- no
Appears in sequences
- A nonlinear binomial sum.at n=15A000126
- Number of primes < prime(n)^2.at n=45A000879
- Numbers that are the sum of 6 positive 6th powers.at n=28A003362
- Coordination sequence T2 for Zeolite Code BIK.at n=40A008048
- Coordination sequence T1 for Keatite.at n=36A009844
- q-Fibonacci numbers for q=4, scaling a(n-1).at n=4A015475
- n written in fractional base 7/4.at n=39A024641
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=47A024927
- Sums of 3 distinct powers of 4.at n=24A038471
- Numbers whose base-8 representation has exactly 5 runs.at n=3A043627
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=18A044887
- Numbers whose base-4 representation contains exactly four 0's and three 1's.at n=4A045036
- Numbers whose base-4 representation contains exactly four 0's and no 2's.at n=36A045057
- Numbers whose base-4 representation contains exactly four 0's and no 3's.at n=36A045081
- 17-gonal (or heptadecagonal) numbers: a(n) = n*(15*n-13)/2.at n=24A051869
- A simple grammar: rooted sequences of cycles.at n=6A052860
- Central column of arrays in A057027 and A057028.at n=45A057029
- McKay-Thompson series of class 19A for Monster.at n=17A058549
- McKay-Thompson series of class 27a for Monster.at n=74A058600
- Arithmetic derivative of Fibonacci numbers > 0.at n=17A068329