3,209,980

2² × 5 × 160499

3,209,980 factors as 2^2 × 5 × 160499. Its 12 positive divisors give a proper-divisor sum of 3,531,020, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 160499

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,741,000

Proper Divisor Sum 3,531,020

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3209971 ← → #3210001

Radix Representation

Decimal	3209980
Binary	1100001111101011111100 (22 bits)
Octal	0o14175374
Hexadecimal	0x30FAFC

Divisor Catalog (12)

1 2 4 5 10 20 160,499 320,998 641,996 802,495 1,604,990 3,209,980

Collatz Trajectory (102 steps to reach 1)

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

3,209,980 1,604,990 802,495 2,407,486 1,203,743 3,611,230 1,805,615 5,416,846 2,708,423 8,125,270 4,062,635 12,187,906 6,093,953 18,281,860 9,140,930 4,570,465 13,711,396 6,855,698 3,427,849 10,283,548 5,141,774 2,570,887 7,712,662 3,856,331 11,568,994 5,784,497 17,353,492 8,676,746 4,338,373 13,015,120 6,507,560 3,253,780 1,626,890 813,445 2,440,336 1,220,168 610,084 305,042 152,521 457,564 228,782 114,391 343,174 171,587 514,762 257,381 772,144 386,072 193,036 96,518 48,259 144,778 72,389 217,168 108,584 54,292 27,146 13,573 40,720 20,360

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