4,680,693

3³ × 173359

4,680,693 factors as 3^3 × 173359. Its 8 positive divisors give a proper-divisor sum of 2,253,707, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 173359

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,934,400

Proper Divisor Sum 2,253,707

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4680677 ← → #4680701

Radix Representation

Decimal	4680693
Binary	10001110110101111110101 (23 bits)
Octal	0o21665765
Hexadecimal	0x476BF5

Divisor Catalog (8)

1 3 9 27 173,359 520,077 1,560,231 4,680,693

Collatz Trajectory (87 steps to reach 1)

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

4,680,693 14,042,080 7,021,040 3,510,520 1,755,260 877,630 438,815 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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