7,204,804

2² × 17 × 105953

7,204,804 factors as 2^2 × 17 × 105953. Its 12 positive divisors give a proper-divisor sum of 6,145,400, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 105953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,350,204

Proper Divisor Sum 6,145,400

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7204801 ← → #7204811

Radix Representation

Decimal	7204804
Binary	11011011110111111000100 (23 bits)
Octal	0o33367704
Hexadecimal	0x6DEFC4

Divisor Catalog (12)

1 2 4 17 34 68 105,953 211,906 423,812 1,801,201 3,602,402 7,204,804

Collatz Trajectory (90 steps to reach 1)

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

7,204,804 3,602,402 1,801,201 5,403,604 2,701,802 1,350,901 4,052,704 2,026,352 1,013,176 506,588 253,294 126,647 379,942 189,971 569,914 284,957 854,872 427,436 213,718 106,859 320,578 160,289 480,868 240,434 120,217 360,652 180,326 90,163 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

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