2⁵ × 3 × 5² × 11² × 13

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 11^2 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 14,545,944

Proper Divisor Sum 10,770,744

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3775199 ← → #3775201

Radix Representation

Decimal	3775200
Binary	1110011001101011100000 (22 bits)
Octal	0o16315340
Hexadecimal	0x399AE0

Divisor Catalog (60 of 216)

1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 65 66 75 78 80 88 96 100 104 110 120 121 130 132 143 150 156 160 165 176 195 200 208 220 240 242 260 264 275 286 300

Collatz Trajectory (172 steps to reach 1)

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

3,775,200 1,887,600 943,800 471,900 235,950 117,975 353,926 176,963 530,890 265,445 796,336 398,168 199,084 99,542 49,771 149,314 74,657 223,972 111,986 55,993 167,980 83,990 41,995 125,986 62,993 188,980 94,490 47,245 141,736 70,868 35,434 17,717 53,152 26,576 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #3,775,199 Browse Full Index Next Integer #3,775,201 →