4,179,747

3 × 11 × 13 × 9743

4,179,747 factors as 3 × 11 × 13 × 9743. Its 16 positive divisors give a proper-divisor sum of 2,368,221, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 9743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,547,968

Proper Divisor Sum 2,368,221

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4179743 ← → #4179803

Radix Representation

Decimal	4179747
Binary	1111111100011100100011 (22 bits)
Octal	0o17743443
Hexadecimal	0x3FC723

Divisor Catalog (16)

1 3 11 13 33 39 143 429 9,743 29,229 107,173 126,659 321,519 379,977 1,393,249 4,179,747

Collatz Trajectory (136 steps to reach 1)

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

4,179,747 12,539,242 6,269,621 18,808,864 9,404,432 4,702,216 2,351,108 1,175,554 587,777 1,763,332 881,666 440,833 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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