4,002,612

2² × 3 × 43 × 7757

4,002,612 is even and not a perfect square. Its factorization is 2^2 × 3 × 43 × 7757 and its 24 divisors sum to 9,557,856.

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 7757

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,557,856

Proper Divisor Sum 5,555,244

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4002611 ← → #4002631

Radix Representation

Decimal	4002612
Binary	1111010001001100110100 (22 bits)
Octal	0o17211464
Hexadecimal	0x3D1334

Divisor Catalog (24)

1 2 3 4 6 12 43 86 129 172 258 516 7,757 15,514 23,271 31,028 46,542 93,084 333,551 667,102 1,000,653 1,334,204 2,001,306 4,002,612

Collatz Trajectory (97 steps to reach 1)

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

4,002,612 2,001,306 1,000,653 3,001,960 1,500,980 750,490 375,245 1,125,736 562,868 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360

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