8,425,008

2⁴ × 3² × 41 × 1427

8,425,008 has the prime decomposition 2^4 × 3^2 × 41 × 1427. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 41 × 1427

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 24,170,328

Proper Divisor Sum 15,745,320

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8424973 ← → #8425057

Radix Representation

Decimal	8425008
Binary	100000001000111000110000 (24 bits)
Octal	0o40107060
Hexadecimal	0x808E30

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1,427 1,476 1,968 2,854 2,952 4,281 5,708 5,904 8,562 11,416 12,843 17,124 22,832 25,686 34,248 51,372 58,507 68,496 102,744 117,014 175,521 205,488 234,028 351,042 468,056 526,563 702,084 936,112 1,053,126 1,404,168 2,106,252 2,808,336 4,212,504 8,425,008

Collatz Trajectory (49 steps to reach 1)

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

8,425,008 4,212,504 2,106,252 1,053,126 526,563 1,579,690 789,845 2,369,536 1,184,768 592,384 296,192 148,096 74,048 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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