4641
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
- 16
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 3423
- 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
- 2304
- Möbius Function
- 1
- Radical
- 4641
- 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
- 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
- 59
- 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
- Fibonomial coefficients: a(n) = F(n+1) * F(n+2) * F(n+3)/2, where F() = Fibonacci numbers A000045.at n=6A001655
- Fibonomial coefficients.at n=3A001658
- Divisors of 2^24 - 1.at n=49A003532
- Numerators in expansion of (1-x)^{-1/4}.at n=6A004130
- Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4.at n=10A005917
- a(n) = n*(n^2 + 1)/2.at n=21A006003
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=34A006580
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=25A007518
- From a problem concerning circulant matrices and Gauss sums.at n=21A007791
- From a problem concerning circulant matrices and Gauss sums.at n=10A007791
- Coordination sequence T1 for Zeolite Code AFI.at n=47A008014
- Coordination sequence T4 for Zeolite Code NON.at n=41A008215
- Triangle of Fibonomial coefficients, read by rows.at n=51A010048
- Triangle of Fibonomial coefficients, read by rows.at n=48A010048
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=32A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=11A013593
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=26A015663
- a(n) = 11^n - 10^n.at n=4A016195
- Powers of cube root of 10 rounded down.at n=11A018003
- Pseudoprimes to base 83.at n=40A020211