832,320

2⁶ × 3² × 5 × 17²

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 3,041,142

Proper Divisor Sum 2,208,822

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #832309 ← → #832327

Radix Representation

Decimal	832320
Binary	11001011001101000000 (20 bits)
Octal	0o3131500
Hexadecimal	0xCB340

Divisor Catalog (60 of 126)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 85 90 96 102 120 136 144 153 160 170 180 192 204 240 255 272 288 289 306 320 340 360 408 480 510 544 576 578 612 680 720

Collatz Trajectory (144 steps to reach 1)

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

832,320 416,160 208,080 104,040 52,020 26,010 13,005 39,016 19,508 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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