41,401,312

2⁵ × 1293791

41,401,312 factors as 2^5 × 1293791. Its 12 positive divisors give a proper-divisor sum of 40,107,584, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^5 × 1293791

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 81,508,896

Proper Divisor Sum 40,107,584

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #41401309 ← → #41401319

Radix Representation

Decimal	41401312
Binary	10011101111011101111100000 (26 bits)
Octal	0o235735740
Hexadecimal	0x277BBE0

Divisor Catalog (12)

1 2 4 8 16 32 1,293,791 2,587,582 5,175,164 10,350,328 20,700,656 41,401,312

Collatz Trajectory (147 steps to reach 1)

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

41,401,312 20,700,656 10,350,328 5,175,164 2,587,582 1,293,791 3,881,374 1,940,687 5,822,062 2,911,031 8,733,094 4,366,547 13,099,642 6,549,821 19,649,464 9,824,732 4,912,366 2,456,183 7,368,550 3,684,275 11,052,826 5,526,413 16,579,240 8,289,620 4,144,810 2,072,405 6,217,216 3,108,608 1,554,304 777,152 388,576 194,288 97,144 48,572 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295

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