39,409,200

2⁴ × 3³ × 5² × 41 × 89

39,409,200 factors as 2^4 × 3^3 × 5^2 × 41 × 89. Its 240 positive divisors give a proper-divisor sum of 105,894,000, so this integer is abundant. The Collatz stopping time is 315 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5^2 × 41 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 145,303,200

Proper Divisor Sum 105,894,000

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #39409187 ← → #39409207

Radix Representation

Decimal	39409200
Binary	10010110010101011000110000 (26 bits)
Octal	0o226253060
Hexadecimal	0x2595630

Divisor Catalog (60 of 240)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 41 45 48 50 54 60 72 75 80 82 89 90 100 108 120 123 135 144 150 164 178 180 200 205 216 225 240 246 267 270 300 328 356 360 369 400 410 432 445 450

Collatz Trajectory (315 steps to reach 1)

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

39,409,200 19,704,600 9,852,300 4,926,150 2,463,075 7,389,226 3,694,613 11,083,840 5,541,920 2,770,960 1,385,480 692,740 346,370 173,185 519,556 259,778 129,889 389,668 194,834 97,417 292,252 146,126 73,063 219,190 109,595 328,786 164,393 493,180 246,590 123,295 369,886 184,943 554,830 277,415 832,246 416,123 1,248,370 624,185 1,872,556 936,278 468,139 1,404,418 702,209 2,106,628 1,053,314 526,657 1,579,972 789,986 394,993 1,184,980 592,490 296,245 888,736 444,368 222,184 111,092 55,546 27,773 83,320 41,660

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