4,729,214

2 × 7 × 19 × 23 × 773

Starting at 4,729,214, the Collatz iteration reaches 1 after 123 steps. The first transition is 2364607; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 23 × 773

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,916,480

Proper Divisor Sum 4,187,266

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4729211 ← → #4729217

Radix Representation

Decimal	4729214
Binary	10010000010100101111110 (23 bits)
Octal	0o22024576
Hexadecimal	0x48297E

Divisor Catalog (32)

1 2 7 14 19 23 38 46 133 161 266 322 437 773 874 1,546 3,059 5,411 6,118 10,822 14,687 17,779 29,374 35,558 102,809 124,453 205,618 248,906 337,801 675,602 2,364,607 4,729,214

Collatz Trajectory (123 steps to reach 1)

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

4,729,214 2,364,607 7,093,822 3,546,911 10,640,734 5,320,367 15,961,102 7,980,551 23,941,654 11,970,827 35,912,482 17,956,241 53,868,724 26,934,362 13,467,181 40,401,544 20,200,772 10,100,386 5,050,193 15,150,580 7,575,290 3,787,645 11,362,936 5,681,468 2,840,734 1,420,367 4,261,102 2,130,551 6,391,654 3,195,827 9,587,482 4,793,741 14,381,224 7,190,612 3,595,306 1,797,653 5,392,960 2,696,480 1,348,240 674,120 337,060 168,530 84,265 252,796 126,398 63,199 189,598 94,799 284,398 142,199 426,598 213,299 639,898 319,949 959,848 479,924 239,962 119,981 359,944 179,972

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