7,201,430

2 × 5 × 211 × 3413

7,201,430 factors as 2 × 5 × 211 × 3413. Its 16 positive divisors give a proper-divisor sum of 5,826,394, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 5 × 211 × 3413

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,027,824

Proper Divisor Sum 5,826,394

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7201429 ← → #7201457

Radix Representation

Decimal	7201430
Binary	11011011110001010010110 (23 bits)
Octal	0o33361226
Hexadecimal	0x6DE296

Divisor Catalog (16)

1 2 5 10 211 422 1,055 2,110 3,413 6,826 17,065 34,130 720,143 1,440,286 3,600,715 7,201,430

Collatz Trajectory (90 steps to reach 1)

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

7,201,430 3,600,715 10,802,146 5,401,073 16,203,220 8,101,610 4,050,805 12,152,416 6,076,208 3,038,104 1,519,052 759,526 379,763 1,139,290 569,645 1,708,936 854,468 427,234 213,617 640,852 320,426 160,213 480,640 240,320 120,160 60,080 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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