40,468,230

2 × 3² × 5 × 11 × 41 × 997

40,468,230 factors as 2 × 3^2 × 5 × 11 × 41 × 997. Its 96 positive divisors give a proper-divisor sum of 77,231,898, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 41 × 997

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 117,700,128

Proper Divisor Sum 77,231,898

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #40468229 ← → #40468231

Radix Representation

Decimal	40468230
Binary	10011010010111111100000110 (26 bits)
Octal	0o232277406
Hexadecimal	0x2697F06

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 997 1,230 1,353 1,845 1,994 2,255 2,706 2,991 3,690 4,059 4,510 4,985 5,982 6,765 8,118 8,973 9,970 10,967 13,530 14,955 17,946 20,295 21,934 29,910 32,901

Collatz Trajectory (108 steps to reach 1)

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

40,468,230 20,234,115 60,702,346 30,351,173 91,053,520 45,526,760 22,763,380 11,381,690 5,690,845 17,072,536 8,536,268 4,268,134 2,134,067 6,402,202 3,201,101 9,603,304 4,801,652 2,400,826 1,200,413 3,601,240 1,800,620 900,310 450,155 1,350,466 675,233 2,025,700 1,012,850 506,425 1,519,276 759,638 379,819 1,139,458 569,729 1,709,188 854,594 427,297 1,281,892 640,946 320,473 961,420 480,710 240,355 721,066 360,533 1,081,600 540,800 270,400 135,200 67,600 33,800 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132

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