3,721,200

2⁴ × 3 × 5² × 7 × 443

3,721,200 has digital root 6. The neighboring primes are 3721199 and 3721213; its proper-divisor sum differs from the starting integer by 6,211,488.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 13,653,888

Proper Divisor Sum 9,932,688

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3721199 ← → #3721213

Radix Representation

Decimal	3721200
Binary	1110001100011111110000 (22 bits)
Octal	0o16143760
Hexadecimal	0x38C7F0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 443 525 560 600 700 840 886 1,050 1,200 1,329 1,400 1,680 1,772

Collatz Trajectory (159 steps to reach 1)

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

3,721,200 1,860,600 930,300 465,150 232,575 697,726 348,863 1,046,590 523,295 1,569,886 784,943 2,354,830 1,177,415 3,532,246 1,766,123 5,298,370 2,649,185 7,947,556 3,973,778 1,986,889 5,960,668 2,980,334 1,490,167 4,470,502 2,235,251 6,705,754 3,352,877 10,058,632 5,029,316 2,514,658 1,257,329 3,771,988 1,885,994 942,997 2,828,992 1,414,496 707,248 353,624 176,812 88,406 44,203 132,610 66,305 198,916 99,458 49,729 149,188 74,594 37,297 111,892 55,946 27,973 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934

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