4,003,749

3⁴ × 49429

4,003,749 factors as 3^4 × 49429. Its 10 positive divisors give a proper-divisor sum of 1,977,281, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^4 × 49429

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 5,981,030

Proper Divisor Sum 1,977,281

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4003729 ← → #4003757

Radix Representation

Decimal	4003749
Binary	1111010001011110100101 (22 bits)
Octal	0o17213645
Hexadecimal	0x3D17A5

Divisor Catalog (10)

1 3 9 27 81 49,429 148,287 444,861 1,334,583 4,003,749

Collatz Trajectory (97 steps to reach 1)

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

4,003,749 12,011,248 6,005,624 3,002,812 1,501,406 750,703 2,252,110 1,126,055 3,378,166 1,689,083 5,067,250 2,533,625 7,600,876 3,800,438 1,900,219 5,700,658 2,850,329 8,550,988 4,275,494 2,137,747 6,413,242 3,206,621 9,619,864 4,809,932 2,404,966 1,202,483 3,607,450 1,803,725 5,411,176 2,705,588 1,352,794 676,397 2,029,192 1,014,596 507,298 253,649 760,948 380,474 190,237 570,712 285,356 142,678 71,339 214,018 107,009 321,028 160,514 80,257 240,772 120,386 60,193 180,580 90,290 45,145 135,436 67,718 33,859 101,578 50,789 152,368

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