3,936,725

5² × 13 × 12113

3,936,725 factors as 5^2 × 13 × 12113. Its 12 positive divisors give a proper-divisor sum of 1,320,751, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 12113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,257,476

Proper Divisor Sum 1,320,751

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3936683 ← → #3936727

Radix Representation

Decimal	3936725
Binary	1111000001000111010101 (22 bits)
Octal	0o17010725
Hexadecimal	0x3C11D5

Divisor Catalog (12)

1 5 13 25 65 325 12,113 60,565 157,469 302,825 787,345 3,936,725

Collatz Trajectory (123 steps to reach 1)

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

3,936,725 11,810,176 5,905,088 2,952,544 1,476,272 738,136 369,068 184,534 92,267 276,802 138,401 415,204 207,602 103,801 311,404 155,702 77,851 233,554 116,777 350,332 175,166 87,583 262,750 131,375 394,126 197,063 591,190 295,595 886,786 443,393 1,330,180 665,090 332,545 997,636 498,818 249,409 748,228 374,114 187,057 561,172 280,586 140,293 420,880 210,440 105,220 52,610 26,305 78,916 39,458 19,729 59,188 29,594 14,797 44,392 22,196 11,098 5,549 16,648 8,324 4,162

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