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833,280

28 × 3 × 5 × 7 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 5 × 7 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 3,139,584
Proper Divisor Sum 2,306,304
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #833269 ← → #833281

Radix Representation

Decimal 833280
Binary 11001011011100000000 (20 bits)
Octal 0o3133400
Hexadecimal 0xCB700

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 56 60 62 64 70 80 84 93 96 105 112 120 124 128 140 155 160 168 186 192 210 217 224 240 248 256 280 310 320 336 372 384 420 434 448 465

Collatz Trajectory (82 steps to reach 1)

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

833,280 416,640 208,320 104,160 52,080 26,040 13,020 6,510 3,255 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148

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