4,029,123

3 × 7² × 27409

4,029,123 has the prime decomposition 3 × 7^2 × 27409. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 27409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,249,480

Proper Divisor Sum 2,220,357

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4029107 ← → #4029127

Radix Representation

Decimal	4029123
Binary	1111010111101011000011 (22 bits)
Octal	0o17275303
Hexadecimal	0x3D7AC3

Divisor Catalog (12)

1 3 7 21 49 147 27,409 82,227 191,863 575,589 1,343,041 4,029,123

Collatz Trajectory (92 steps to reach 1)

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

4,029,123 12,087,370 6,043,685 18,131,056 9,065,528 4,532,764 2,266,382 1,133,191 3,399,574 1,699,787 5,099,362 2,549,681 7,649,044 3,824,522 1,912,261 5,736,784 2,868,392 1,434,196 717,098 358,549 1,075,648 537,824 268,912 134,456 67,228 33,614 16,807 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710

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