3,201,264

2⁴ × 3² × 11 × 43 × 47

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 43 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 10,213,632

Proper Divisor Sum 7,012,368

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3201259 ← → #3201271

Radix Representation

Decimal	3201264
Binary	1100001101100011110000 (22 bits)
Octal	0o14154360
Hexadecimal	0x30D8F0

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 47 48 66 72 86 88 94 99 129 132 141 144 172 176 188 198 258 264 282 344 376 387 396 423 473 516 517 528 564 688 752 774 792 846 946 1,032 1,034 1,128 1,419 1,548 1,551 1,584 1,692

Collatz Trajectory (120 steps to reach 1)

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

3,201,264 1,600,632 800,316 400,158 200,079 600,238 300,119 900,358 450,179 1,350,538 675,269 2,025,808 1,012,904 506,452 253,226 126,613 379,840 189,920 94,960 47,480 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400

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