4,688,172

2² × 3³ × 83 × 523

4,688,172 has the prime decomposition 2^2 × 3^3 × 83 × 523. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 83 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,324,480

Proper Divisor Sum 7,636,308

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4688171 ← → #4688179

Radix Representation

Decimal	4688172
Binary	10001111000100100101100 (23 bits)
Octal	0o21704454
Hexadecimal	0x47892C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 523 747 996 1,046 1,494 1,569 2,092 2,241 2,988 3,138 4,482 4,707 6,276 8,964 9,414 14,121 18,828 28,242 43,409 56,484 86,818 130,227 173,636 260,454 390,681 520,908 781,362 1,172,043 1,562,724 2,344,086 4,688,172

Collatz Trajectory (74 steps to reach 1)

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

4,688,172 2,344,086 1,172,043 3,516,130 1,758,065 5,274,196 2,637,098 1,318,549 3,955,648 1,977,824 988,912 494,456 247,228 123,614 61,807 185,422 92,711 278,134 139,067 417,202 208,601 625,804 312,902 156,451 469,354 234,677 704,032 352,016 176,008 88,004 44,002 22,001 66,004 33,002 16,501 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23

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