3,723,944

2³ × 7 × 66499

3,723,944 factors as 2^3 × 7 × 66499. Its 16 positive divisors give a proper-divisor sum of 4,256,056, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 66499

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,980,000

Proper Divisor Sum 4,256,056

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3723931 ← → #3723947

Radix Representation

Decimal	3723944
Binary	1110001101001010101000 (22 bits)
Octal	0o16151250
Hexadecimal	0x38D2A8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 66,499 132,998 265,996 465,493 531,992 930,986 1,861,972 3,723,944

Collatz Trajectory (141 steps to reach 1)

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

3,723,944 1,861,972 930,986 465,493 1,396,480 698,240 349,120 174,560 87,280 43,640 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650

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