3,733,200

2⁴ × 3² × 5² × 17 × 61

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 17 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 13,942,188

Proper Divisor Sum 10,208,988

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3733193 ← → #3733207

Radix Representation

Decimal	3733200
Binary	1110001111011011010000 (22 bits)
Octal	0o16173320
Hexadecimal	0x38F6D0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 45 48 50 51 60 61 68 72 75 80 85 90 100 102 120 122 136 144 150 153 170 180 183 200 204 225 240 244 255 272 300 305 306 340 360 366 400 408 425

Collatz Trajectory (97 steps to reach 1)

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

3,733,200 1,866,600 933,300 466,650 233,325 699,976 349,988 174,994 87,497 262,492 131,246 65,623 196,870 98,435 295,306 147,653 442,960 221,480 110,740 55,370 27,685 83,056 41,528 20,764 10,382 5,191 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692

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