3,211,705

5 × 7² × 13109

3,211,705 factors as 5 × 7^2 × 13109. Its 12 positive divisors give a proper-divisor sum of 1,271,915, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 13109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,483,620

Proper Divisor Sum 1,271,915

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3211673 ← → #3211717

Radix Representation

Decimal	3211705
Binary	1100010000000110111001 (22 bits)
Octal	0o14200671
Hexadecimal	0x3101B9

Divisor Catalog (12)

1 5 7 35 49 245 13,109 65,545 91,763 458,815 642,341 3,211,705

Collatz Trajectory (120 steps to reach 1)

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

3,211,705 9,635,116 4,817,558 2,408,779 7,226,338 3,613,169 10,839,508 5,419,754 2,709,877 8,129,632 4,064,816 2,032,408 1,016,204 508,102 254,051 762,154 381,077 1,143,232 571,616 285,808 142,904 71,452 35,726 17,863 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397

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