41,002,800

2⁴ × 3 × 5² × 47 × 727

41,002,800 factors as 2^4 × 3 × 5^2 × 47 × 727. Its 120 positive divisors give a proper-divisor sum of 93,321,936, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 47 × 727

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 134,324,736

Proper Divisor Sum 93,321,936

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #41002799 ← → #41002811

Radix Representation

Decimal	41002800
Binary	10011100011010011100110000 (26 bits)
Octal	0o234323460
Hexadecimal	0x271A730

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 727 752 940 1,128 1,175 1,200 1,410 1,454 1,880 2,181 2,256 2,350 2,820 2,908 3,525 3,635 3,760 4,362 4,700 5,640 5,816

Collatz Trajectory (77 steps to reach 1)

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

41,002,800 20,501,400 10,250,700 5,125,350 2,562,675 7,688,026 3,844,013 11,532,040 5,766,020 2,883,010 1,441,505 4,324,516 2,162,258 1,081,129 3,243,388 1,621,694 810,847 2,432,542 1,216,271 3,648,814 1,824,407 5,473,222 2,736,611 8,209,834 4,104,917 12,314,752 6,157,376 3,078,688 1,539,344 769,672 384,836 192,418 96,209 288,628 144,314 72,157 216,472 108,236 54,118 27,059 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205

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