41,289,628

2² × 131 × 78797

41,289,628 factors as 2^2 × 131 × 78797. Its 12 positive divisors give a proper-divisor sum of 31,519,724, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 131 × 78797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 72,809,352

Proper Divisor Sum 31,519,724

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #41289607 ← → #41289631

Radix Representation

Decimal	41289628
Binary	10011101100000011110011100 (26 bits)
Octal	0o235403634
Hexadecimal	0x276079C

Divisor Catalog (12)

1 2 4 131 262 524 78,797 157,594 315,188 10,322,407 20,644,814 41,289,628

Collatz Trajectory (253 steps to reach 1)

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

41,289,628 20,644,814 10,322,407 30,967,222 15,483,611 46,450,834 23,225,417 69,676,252 34,838,126 17,419,063 52,257,190 26,128,595 78,385,786 39,192,893 117,578,680 58,789,340 29,394,670 14,697,335 44,092,006 22,046,003 66,138,010 33,069,005 99,207,016 49,603,508 24,801,754 12,400,877 37,202,632 18,601,316 9,300,658 4,650,329 13,950,988 6,975,494 3,487,747 10,463,242 5,231,621 15,694,864 7,847,432 3,923,716 1,961,858 980,929 2,942,788 1,471,394 735,697 2,207,092 1,103,546 551,773 1,655,320 827,660 413,830 206,915 620,746 310,373 931,120 465,560 232,780 116,390 58,195 174,586 87,293 261,880

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