7,530,208

2⁵ × 7 × 33617

7,530,208 factors as 2^5 × 7 × 33617. Its 24 positive divisors give a proper-divisor sum of 9,413,264, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 33617

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,943,472

Proper Divisor Sum 9,413,264

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7530161 ← → #7530209

Radix Representation

Decimal	7530208
Binary	11100101110011011100000 (23 bits)
Octal	0o34563340
Hexadecimal	0x72E6E0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 33,617 67,234 134,468 235,319 268,936 470,638 537,872 941,276 1,075,744 1,882,552 3,765,104 7,530,208

Collatz Trajectory (111 steps to reach 1)

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

7,530,208 3,765,104 1,882,552 941,276 470,638 235,319 705,958 352,979 1,058,938 529,469 1,588,408 794,204 397,102 198,551 595,654 297,827 893,482 446,741 1,340,224 670,112 335,056 167,528 83,764 41,882 20,941 62,824 31,412 15,706 7,853 23,560 11,780 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330

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