6849
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9906
- Proper Divisor Sum (Aliquot Sum)
- 3057
- 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
- 4560
- Möbius Function
- 0
- Radical
- 2283
- 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
- 57
- 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
- Spiral sieve using Fibonacci numbers.at n=18A005626
- Pseudoprimes to base 62.at n=46A020190
- Multiplicity of highest weight (or singular) vectors associated with character chi_171 of Monster module.at n=38A034559
- Positive numbers having the same set of digits in base 8 and base 9.at n=27A037441
- Number of primes between n*100000 and (n+1)*100000.at n=22A038825
- Revert transform of 2*x*(1 - x + x^4 - x^5)-x/(1+x).at n=8A049179
- Numerators of coefficients in Airy-type asymptotic expansion.at n=1A069244
- Least k for the Theodorus spiral to complete n revolutions.at n=25A072895
- Interprimes which are of the form s*prime, s=9.at n=20A075284
- Number of distinct products i*j*k with 1 <= i < j <= k <= n and j < n.at n=48A083508
- Number of decimal digits of Lucas(2^n).at n=15A094057
- Number of compositions of n where the largest part is less than the number of parts.at n=13A098125
- Numbers n such that every digit of n and n-th prime contains a loop (only digits 0,4,6,8,9 in n and n-th prime).at n=11A107624
- Number of partitions of n having exactly one part that is a multiple of 3.at n=38A116634
- Smaller of two consecutive lucky numbers with the same digital sum.at n=26A118566
- Numerator of the product of the n-th triangular number and the n-th harmonic number.at n=7A119786
- Numerator of absolute value of Sum_{k=1..n} (-1)^(k+1)*(2*k+1)*(Sum_{i=1..k} 1/i).at n=7A120284
- Number of outcomes of unlabeled n-team round-robin tournaments that are not uniquely defined by their score vectors.at n=7A121272
- Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A130369/A130370.at n=10A130378
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A126931.at n=30A171509