4,680,688

2⁴ × 19 × 89 × 173

Starting at 4,680,688, the Collatz iteration reaches 1 after 87 steps. The first transition is 2340344; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 19 × 89 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,709,200

Proper Divisor Sum 5,028,512

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4680677 ← → #4680701

Radix Representation

Decimal	4680688
Binary	10001110110101111110000 (23 bits)
Octal	0o21665760
Hexadecimal	0x476BF0

Divisor Catalog (40)

1 2 4 8 16 19 38 76 89 152 173 178 304 346 356 692 712 1,384 1,424 1,691 2,768 3,287 3,382 6,574 6,764 13,148 13,528 15,397 26,296 27,056 30,794 52,592 61,588 123,176 246,352 292,543 585,086 1,170,172 2,340,344 4,680,688

Collatz Trajectory (87 steps to reach 1)

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

4,680,688 2,340,344 1,170,172 585,086 292,543 877,630 438,815 1,316,446 658,223 1,974,670 987,335 2,962,006 1,481,003 4,443,010 2,221,505 6,664,516 3,332,258 1,666,129 4,998,388 2,499,194 1,249,597 3,748,792 1,874,396 937,198 468,599 1,405,798 702,899 2,108,698 1,054,349 3,163,048 1,581,524 790,762 395,381 1,186,144 593,072 296,536 148,268 74,134 37,067 111,202 55,601 166,804 83,402 41,701 125,104 62,552 31,276 15,638 7,819 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949

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