7,371,875

5⁵ × 7 × 337

7,371,875 has the prime decomposition 5^5 × 7 × 337. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^5 × 7 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,561,824

Proper Divisor Sum 3,189,949

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7371869 ← → #7371883

Radix Representation

Decimal	7371875
Binary	11100000111110001100011 (23 bits)
Octal	0o34076143
Hexadecimal	0x707C63

Divisor Catalog (24)

1 5 7 25 35 125 175 337 625 875 1,685 2,359 3,125 4,375 8,425 11,795 21,875 42,125 58,975 210,625 294,875 1,053,125 1,474,375 7,371,875

Collatz Trajectory (85 steps to reach 1)

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

7,371,875 22,115,626 11,057,813 33,173,440 16,586,720 8,293,360 4,146,680 2,073,340 1,036,670 518,335 1,555,006 777,503 2,332,510 1,166,255 3,498,766 1,749,383 5,248,150 2,624,075 7,872,226 3,936,113 11,808,340 5,904,170 2,952,085 8,856,256 4,428,128 2,214,064 1,107,032 553,516 276,758 138,379 415,138 207,569 622,708 311,354 155,677 467,032 233,516 116,758 58,379 175,138 87,569 262,708 131,354 65,677 197,032 98,516 49,258 24,629 73,888 36,944 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300

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