8,034,504

2³ × 3 × 334771

8,034,504 factors as 2^3 × 3 × 334771. Its 16 positive divisors give a proper-divisor sum of 12,051,816, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 334771

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,086,320

Proper Divisor Sum 12,051,816

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8034503 ← → #8034547

Radix Representation

Decimal	8034504
Binary	11110101001100011001000 (23 bits)
Octal	0o36514310
Hexadecimal	0x7A98C8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 334,771 669,542 1,004,313 1,339,084 2,008,626 2,678,168 4,017,252 8,034,504

Collatz Trajectory (137 steps to reach 1)

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

8,034,504 4,017,252 2,008,626 1,004,313 3,012,940 1,506,470 753,235 2,259,706 1,129,853 3,389,560 1,694,780 847,390 423,695 1,271,086 635,543 1,906,630 953,315 2,859,946 1,429,973 4,289,920 2,144,960 1,072,480 536,240 268,120 134,060 67,030 33,515 100,546 50,273 150,820 75,410 37,705 113,116 56,558 28,279 84,838 42,419 127,258 63,629 190,888 95,444 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417

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