3,107,125

5³ × 7 × 53 × 67

3,107,125 has the prime decomposition 5^3 × 7 × 53 × 67. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 7 × 53 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,582,656

Proper Divisor Sum 1,475,531

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3107119 ← → #3107131

Radix Representation

Decimal	3107125
Binary	1011110110100100110101 (22 bits)
Octal	0o13664465
Hexadecimal	0x2F6935

Divisor Catalog (32)

1 5 7 25 35 53 67 125 175 265 335 371 469 875 1,325 1,675 1,855 2,345 3,551 6,625 8,375 9,275 11,725 17,755 24,857 46,375 58,625 88,775 124,285 443,875 621,425 3,107,125

Collatz Trajectory (195 steps to reach 1)

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

3,107,125 9,321,376 4,660,688 2,330,344 1,165,172 582,586 291,293 873,880 436,940 218,470 109,235 327,706 163,853 491,560 245,780 122,890 61,445 184,336 92,168 46,084 23,042 11,521 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292

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