4,179,749

7² × 197 × 433

4,179,749 factors as 7^2 × 197 × 433. Its 12 positive divisors give a proper-divisor sum of 718,375, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 7^2 × 197 × 433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,898,124

Proper Divisor Sum 718,375

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #4179743 ← → #4179803

Radix Representation

Decimal	4179749
Binary	1111111100011100100101 (22 bits)
Octal	0o17743445
Hexadecimal	0x3FC725

Divisor Catalog (12)

1 7 49 197 433 1,379 3,031 9,653 21,217 85,301 597,107 4,179,749

Collatz Trajectory (136 steps to reach 1)

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

4,179,749 12,539,248 6,269,624 3,134,812 1,567,406 783,703 2,351,110 1,175,555 3,526,666 1,763,333 5,290,000 2,645,000 1,322,500 661,250 330,625 991,876 495,938 247,969 743,908 371,954 185,977 557,932 278,966 139,483 418,450 209,225 627,676 313,838 156,919 470,758 235,379 706,138 353,069 1,059,208 529,604 264,802 132,401 397,204 198,602 99,301 297,904 148,952 74,476 37,238 18,619 55,858 27,929 83,788 41,894 20,947 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675 53,026 26,513

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