3,211,075

5² × 7 × 59 × 311

3,211,075 factors as 5^2 × 7 × 59 × 311. Its 24 positive divisors give a proper-divisor sum of 1,431,485, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 59 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,642,560

Proper Divisor Sum 1,431,485

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3211069 ← → #3211123

Radix Representation

Decimal	3211075
Binary	1100001111111101000011 (22 bits)
Octal	0o14177503
Hexadecimal	0x30FF43

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

3,211,075 9,633,226 4,816,613 14,449,840 7,224,920 3,612,460 1,806,230 903,115 2,709,346 1,354,673 4,064,020 2,032,010 1,016,005 3,048,016 1,524,008 762,004 381,002 190,501 571,504 285,752 142,876 71,438 35,719 107,158 53,579 160,738 80,369 241,108 120,554 60,277 180,832 90,416 45,208 22,604 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 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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