3,220,724

2² × 13 × 241 × 257

3,220,724 factors as 2^2 × 13 × 241 × 257. Its 24 positive divisors give a proper-divisor sum of 2,898,004, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 241 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,118,728

Proper Divisor Sum 2,898,004

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3220703 ← → #3220727

Radix Representation

Decimal	3220724
Binary	1100010010010011110100 (22 bits)
Octal	0o14222364
Hexadecimal	0x3124F4

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

3,220,724 1,610,362 805,181 2,415,544 1,207,772 603,886 301,943 905,830 452,915 1,358,746 679,373 2,038,120 1,019,060 509,530 254,765 764,296 382,148 191,074 95,537 286,612 143,306 71,653 214,960 107,480 53,740 26,870 13,435 40,306 20,153 60,460 30,230 15,115 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406

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