8,725,678

2 × 13 × 67 × 5009

8,725,678 has the prime decomposition 2 × 13 × 67 × 5009. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 67 × 5009

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,308,560

Proper Divisor Sum 5,582,882

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8725669 ← → #8725681

Radix Representation

Decimal	8725678
Binary	100001010010010010101110 (24 bits)
Octal	0o41222256
Hexadecimal	0x8524AE

Divisor Catalog (16)

1 2 13 26 67 134 871 1,742 5,009 10,018 65,117 130,234 335,603 671,206 4,362,839 8,725,678

Collatz Trajectory (199 steps to reach 1)

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

8,725,678 4,362,839 13,088,518 6,544,259 19,632,778 9,816,389 29,449,168 14,724,584 7,362,292 3,681,146 1,840,573 5,521,720 2,760,860 1,380,430 690,215 2,070,646 1,035,323 3,105,970 1,552,985 4,658,956 2,329,478 1,164,739 3,494,218 1,747,109 5,241,328 2,620,664 1,310,332 655,166 327,583 982,750 491,375 1,474,126 737,063 2,211,190 1,105,595 3,316,786 1,658,393 4,975,180 2,487,590 1,243,795 3,731,386 1,865,693 5,597,080 2,798,540 1,399,270 699,635 2,098,906 1,049,453 3,148,360 1,574,180 787,090 393,545 1,180,636 590,318 295,159 885,478 442,739 1,328,218 664,109 1,992,328

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