1,201,032

2³ × 3² × 7 × 2383

1,201,032 has the prime decomposition 2^3 × 3^2 × 7 × 2383. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 2383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,719,040

Proper Divisor Sum 2,518,008

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1201027 ← → #1201043

Radix Representation

Decimal	1201032
Binary	100100101001110001000 (21 bits)
Octal	0o4451610
Hexadecimal	0x125388

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2,383 4,766 7,149 9,532 14,298 16,681 19,064 21,447 28,596 33,362 42,894 50,043 57,192 66,724 85,788 100,086 133,448 150,129 171,576 200,172 300,258 400,344 600,516 1,201,032

Collatz Trajectory (160 steps to reach 1)

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

1,201,032 600,516 300,258 150,129 450,388 225,194 112,597 337,792 168,896 84,448 42,224 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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