4,125,600

2⁵ × 3³ × 5² × 191

For 4,125,600, the 144 positive divisors have a total of 14,999,040. Removing 4,125,600 leaves 10,873,440, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5^2 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 14,999,040

Proper Divisor Sum 10,873,440

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4125593 ← → #4125601

Radix Representation

Decimal	4125600
Binary	1111101111001110100000 (22 bits)
Octal	0o17571640
Hexadecimal	0x3EF3A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 191 200 216 225 240 270 288 300 360 382 400 432 450 480 540 573 600 675 720 764 800

Collatz Trajectory (136 steps to reach 1)

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

4,125,600 2,062,800 1,031,400 515,700 257,850 128,925 386,776 193,388 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183

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