4,317,929

7² × 11 × 8011

Starting at 4,317,929, the Collatz iteration reaches 1 after 242 steps. The first transition is 12953788; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 8011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,480,208

Proper Divisor Sum 1,162,279

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4317923 ← → #4317961

Radix Representation

Decimal	4317929
Binary	10000011110001011101001 (23 bits)
Octal	0o20361351
Hexadecimal	0x41E2E9

Divisor Catalog (12)

1 7 11 49 77 539 8,011 56,077 88,121 392,539 616,847 4,317,929

Collatz Trajectory (242 steps to reach 1)

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

4,317,929 12,953,788 6,476,894 3,238,447 9,715,342 4,857,671 14,573,014 7,286,507 21,859,522 10,929,761 32,789,284 16,394,642 8,197,321 24,591,964 12,295,982 6,147,991 18,443,974 9,221,987 27,665,962 13,832,981 41,498,944 20,749,472 10,374,736 5,187,368 2,593,684 1,296,842 648,421 1,945,264 972,632 486,316 243,158 121,579 364,738 182,369 547,108 273,554 136,777 410,332 205,166 102,583 307,750 153,875 461,626 230,813 692,440 346,220 173,110 86,555 259,666 129,833 389,500 194,750 97,375 292,126 146,063 438,190 219,095 657,286 328,643 985,930

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