7,351,984

2⁴ × 607 × 757

7,351,984 factors as 2^4 × 607 × 757. Its 20 positive divisors give a proper-divisor sum of 6,934,800, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 607 × 757

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,286,784

Proper Divisor Sum 6,934,800

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7351969 ← → #7351987

Radix Representation

Decimal	7351984
Binary	11100000010111010110000 (23 bits)
Octal	0o34027260
Hexadecimal	0x702EB0

Divisor Catalog (20)

Collatz Trajectory (85 steps to reach 1)

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

7,351,984 3,675,992 1,837,996 918,998 459,499 1,378,498 689,249 2,067,748 1,033,874 516,937 1,550,812 775,406 387,703 1,163,110 581,555 1,744,666 872,333 2,617,000 1,308,500 654,250 327,125 981,376 490,688 245,344 122,672 61,336 30,668 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300

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