33,765,840

2⁴ × 3² × 5 × 23 × 2039

33,765,840 factors as 2^4 × 3^2 × 5 × 23 × 2039. Its 120 positive divisors give a proper-divisor sum of 84,619,440, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 23 × 2039

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 118,385,280

Proper Divisor Sum 84,619,440

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #33765839 ← → #33765847

Radix Representation

Decimal	33765840
Binary	10000000110011100111010000 (26 bits)
Octal	0o200634720
Hexadecimal	0x20339D0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1,035 1,104 1,380 1,656 1,840 2,039 2,070 2,760 3,312 4,078 4,140 5,520

Collatz Trajectory (108 steps to reach 1)

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

33,765,840 16,882,920 8,441,460 4,220,730 2,110,365 6,331,096 3,165,548 1,582,774 791,387 2,374,162 1,187,081 3,561,244 1,780,622 890,311 2,670,934 1,335,467 4,006,402 2,003,201 6,009,604 3,004,802 1,502,401 4,507,204 2,253,602 1,126,801 3,380,404 1,690,202 845,101 2,535,304 1,267,652 633,826 316,913 950,740 475,370 237,685 713,056 356,528 178,264 89,132 44,566 22,283 66,850 33,425 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950

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