4491
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6500
- Proper Divisor Sum (Aliquot Sum)
- 2009
- 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
- 2988
- Möbius Function
- 0
- Radical
- 1497
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 183
- 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
- Coordination sequence T1 for Zeolite Code DDR.at n=42A008071
- Coordination sequence T2 for Zeolite Code MTW.at n=44A008197
- Coordination sequence T4 for Zeolite Code TER.at n=45A016436
- Expansion of Molien series for 8-dimensional real Clifford group 2^{1+6}.Alt_8.2 of genus 3 and order 5160960.at n=41A024186
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 67.at n=0A031565
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 67.at n=0A031745
- Positive numbers having the same set of digits in base 7 and base 9.at n=21A037439
- Numbers whose base-4 representation has exactly 7 runs.at n=32A043598
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=32A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=32A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=32A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=32A043874
- 3*n^2-2*n+6.at n=39A047915
- Starting from generation 8 add previous and next term yielding generation 9.at n=6A048455
- Odd numbers in sorted order from generation 2 onwards.at n=22A048462
- n plus a googol is prime.at n=14A049014
- Numbers k such that k and k+1 both have 6 divisors.at n=45A049103
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=41A050033
- Numbers k such that k | 8^k + 7^k + 6^k + 5^k + 4^k + 3^k.at n=34A057261
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3), ..., a(n)] and [0; a(1), a(2), a(3), ..., a(n)].at n=37A058082