6,984,201

3 × 7 × 83 × 4007

6,984,201 has the prime decomposition 3 × 7 × 83 × 4007. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 83 × 4007

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,773,504

Proper Divisor Sum 3,789,303

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6984193 ← → #6984209

Radix Representation

Decimal	6984201
Binary	11010101001001000001001 (23 bits)
Octal	0o32511011
Hexadecimal	0x6A9209

Divisor Catalog (16)

1 3 7 21 83 249 581 1,743 4,007 12,021 28,049 84,147 332,581 997,743 2,328,067 6,984,201

Collatz Trajectory (85 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,984,201 20,952,604 10,476,302 5,238,151 15,714,454 7,857,227 23,571,682 11,785,841 35,357,524 17,678,762 8,839,381 26,518,144 13,259,072 6,629,536 3,314,768 1,657,384 828,692 414,346 207,173 621,520 310,760 155,380 77,690 38,845 116,536 58,268 29,134 14,567 43,702 21,851 65,554 32,777 98,332 49,166 24,583 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232

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