41,006,224

2⁴ × 7 × 366127

41,006,224 factors as 2^4 × 7 × 366127. Its 20 positive divisors give a proper-divisor sum of 49,793,520, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 366127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 90,799,744

Proper Divisor Sum 49,793,520

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #41006209 ← → #41006243

Radix Representation

Decimal	41006224
Binary	10011100011011010010010000 (26 bits)
Octal	0o234332220
Hexadecimal	0x271B490

Divisor Catalog (20)

Collatz Trajectory (178 steps to reach 1)

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

41,006,224 20,503,112 10,251,556 5,125,778 2,562,889 7,688,668 3,844,334 1,922,167 5,766,502 2,883,251 8,649,754 4,324,877 12,974,632 6,487,316 3,243,658 1,621,829 4,865,488 2,432,744 1,216,372 608,186 304,093 912,280 456,140 228,070 114,035 342,106 171,053 513,160 256,580 128,290 64,145 192,436 96,218 48,109 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226

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