4,677,803

13 × 587 × 613

Starting at 4,677,803, the Collatz iteration reaches 1 after 180 steps. The first transition is 14033410; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 587 × 613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,054,448

Proper Divisor Sum 376,645

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4677779 ← → #4677817

Radix Representation

Decimal	4677803
Binary	10001110110000010101011 (23 bits)
Octal	0o21660253
Hexadecimal	0x4760AB

Divisor Catalog (8)

1 13 587 613 7,631 7,969 359,831 4,677,803

Collatz Trajectory (180 steps to reach 1)

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

4,677,803 14,033,410 7,016,705 21,050,116 10,525,058 5,262,529 15,787,588 7,893,794 3,946,897 11,840,692 5,920,346 2,960,173 8,880,520 4,440,260 2,220,130 1,110,065 3,330,196 1,665,098 832,549 2,497,648 1,248,824 624,412 312,206 156,103 468,310 234,155 702,466 351,233 1,053,700 526,850 263,425 790,276 395,138 197,569 592,708 296,354 148,177 444,532 222,266 111,133 333,400 166,700 83,350 41,675 125,026 62,513 187,540 93,770 46,885 140,656 70,328 35,164 17,582 8,791 26,374 13,187 39,562 19,781 59,344 29,672

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