7,201,173

3 × 7 × 139 × 2467

7,201,173 factors as 3 × 7 × 139 × 2467. Its 16 positive divisors give a proper-divisor sum of 3,855,467, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3 × 7 × 139 × 2467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,056,640

Proper Divisor Sum 3,855,467

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7201157 ← → #7201189

Radix Representation

Decimal	7201173
Binary	11011011110000110010101 (23 bits)
Octal	0o33360625
Hexadecimal	0x6DE195

Divisor Catalog (16)

1 3 7 21 139 417 973 2,467 2,919 7,401 17,269 51,807 342,913 1,028,739 2,400,391 7,201,173

Collatz Trajectory (90 steps to reach 1)

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

7,201,173 21,603,520 10,801,760 5,400,880 2,700,440 1,350,220 675,110 337,555 1,012,666 506,333 1,519,000 759,500 379,750 189,875 569,626 284,813 854,440 427,220 213,610 106,805 320,416 160,208 80,104 40,052 20,026 10,013 30,040 15,020 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

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