56,586,240

2¹² × 3² × 5 × 307

Prime Factor Structure

Factorization String 2^12 × 3^2 × 5 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 156

Divisor Sum (σ) 196,780,584

Proper Divisor Sum 140,194,344

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #56586239 ← → #56586259

Radix Representation

Decimal	56586240
Binary	11010111110111000000000000 (26 bits)
Octal	0o327670000
Hexadecimal	0x35F7000

Divisor Catalog (60 of 156)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 307 320 360 384 480 512 576 614 640 720 768 921 960 1,024 1,152 1,228 1,280 1,440 1,535 1,536 1,842 1,920 2,048 2,304

Collatz Trajectory (132 steps to reach 1)

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

56,586,240 28,293,120 14,146,560 7,073,280 3,536,640 1,768,320 884,160 442,080 221,040 110,520 55,260 27,630 13,815 41,446 20,723 62,170 31,085 93,256 46,628 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663

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