56,220,120

2³ × 3² × 5 × 11 × 14197

56,220,120 factors as 2^3 × 3^2 × 5 × 11 × 14197. Its 96 positive divisors give a proper-divisor sum of 143,119,800, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 14197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 199,339,920

Proper Divisor Sum 143,119,800

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #56220103 ← → #56220127

Radix Representation

Decimal	56220120
Binary	11010110011101100111011000 (26 bits)
Octal	0o326354730
Hexadecimal	0x359D9D8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1,320 1,980 3,960 14,197 28,394 42,591 56,788 70,985 85,182 113,576 127,773 141,970 156,167 170,364 212,955

Collatz Trajectory (101 steps to reach 1)

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

56,220,120 28,110,060 14,055,030 7,027,515 21,082,546 10,541,273 31,623,820 15,811,910 7,905,955 23,717,866 11,858,933 35,576,800 17,788,400 8,894,200 4,447,100 2,223,550 1,111,775 3,335,326 1,667,663 5,002,990 2,501,495 7,504,486 3,752,243 11,256,730 5,628,365 16,885,096 8,442,548 4,221,274 2,110,637 6,331,912 3,165,956 1,582,978 791,489 2,374,468 1,187,234 593,617 1,780,852 890,426 445,213 1,335,640 667,820 333,910 166,955 500,866 250,433 751,300 375,650 187,825 563,476 281,738 140,869 422,608 211,304 105,652 52,826 26,413 79,240 39,620 19,810 9,905

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