7,372,024

2³ × 11 × 83773

7,372,024 has the prime decomposition 2^3 × 11 × 83773. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 83773

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,079,320

Proper Divisor Sum 7,707,296

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7372009 ← → #7372037

Radix Representation

Decimal	7372024
Binary	11100000111110011111000 (23 bits)
Octal	0o34076370
Hexadecimal	0x707CF8

Divisor Catalog (16)

1 2 4 8 11 22 44 88 83,773 167,546 335,092 670,184 921,503 1,843,006 3,686,012 7,372,024

Collatz Trajectory (279 steps to reach 1)

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

7,372,024 3,686,012 1,843,006 921,503 2,764,510 1,382,255 4,146,766 2,073,383 6,220,150 3,110,075 9,330,226 4,665,113 13,995,340 6,997,670 3,498,835 10,496,506 5,248,253 15,744,760 7,872,380 3,936,190 1,968,095 5,904,286 2,952,143 8,856,430 4,428,215 13,284,646 6,642,323 19,926,970 9,963,485 29,890,456 14,945,228 7,472,614 3,736,307 11,208,922 5,604,461 16,813,384 8,406,692 4,203,346 2,101,673 6,305,020 3,152,510 1,576,255 4,728,766 2,364,383 7,093,150 3,546,575 10,639,726 5,319,863 15,959,590 7,979,795 23,939,386 11,969,693 35,909,080 17,954,540 8,977,270 4,488,635 13,465,906 6,732,953 20,198,860 10,099,430

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