3,960,125

5³ × 13 × 2437

3,960,125 factors as 5^3 × 13 × 2437. Its 16 positive divisors give a proper-divisor sum of 1,364,467, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 5^3 × 13 × 2437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,324,592

Proper Divisor Sum 1,364,467

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3960101 ← → #3960137

Radix Representation

Decimal	3960125
Binary	1111000110110100111101 (22 bits)
Octal	0o17066475
Hexadecimal	0x3C6D3D

Divisor Catalog (16)

1 5 13 25 65 125 325 1,625 2,437 12,185 31,681 60,925 158,405 304,625 792,025 3,960,125

Collatz Trajectory (185 steps to reach 1)

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

3,960,125 11,880,376 5,940,188 2,970,094 1,485,047 4,455,142 2,227,571 6,682,714 3,341,357 10,024,072 5,012,036 2,506,018 1,253,009 3,759,028 1,879,514 939,757 2,819,272 1,409,636 704,818 352,409 1,057,228 528,614 264,307 792,922 396,461 1,189,384 594,692 297,346 148,673 446,020 223,010 111,505 334,516 167,258 83,629 250,888 125,444 62,722 31,361 94,084 47,042 23,521 70,564 35,282 17,641 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120

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