3,840,004

2² × 7 × 137143

3,840,004 factors as 2^2 × 7 × 137143. Its 12 positive divisors give a proper-divisor sum of 3,840,060, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 137143

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,680,064

Proper Divisor Sum 3,840,060

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3839999 ← → #3840007

Radix Representation

Decimal	3840004
Binary	1110101001100000000100 (22 bits)
Octal	0o16514004
Hexadecimal	0x3A9804

Divisor Catalog (12)

1 2 4 7 14 28 137,143 274,286 548,572 960,001 1,920,002 3,840,004

Collatz Trajectory (71 steps to reach 1)

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

3,840,004 1,920,002 960,001 2,880,004 1,440,002 720,001 2,160,004 1,080,002 540,001 1,620,004 810,002 405,001 1,215,004 607,502 303,751 911,254 455,627 1,366,882 683,441 2,050,324 1,025,162 512,581 1,537,744 768,872 384,436 192,218 96,109 288,328 144,164 72,082 36,041 108,124 54,062 27,031 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113

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