8,004,136

2³ × 7 × 37 × 3863

8,004,136 has the prime decomposition 2^3 × 7 × 37 × 3863. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 3863

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,619,840

Proper Divisor Sum 9,615,704

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8004133 ← → #8004151

Radix Representation

Decimal	8004136
Binary	11110100010001000101000 (23 bits)
Octal	0o36421050
Hexadecimal	0x7A2228

Divisor Catalog (32)

1 2 4 7 8 14 28 37 56 74 148 259 296 518 1,036 2,072 3,863 7,726 15,452 27,041 30,904 54,082 108,164 142,931 216,328 285,862 571,724 1,000,517 1,143,448 2,001,034 4,002,068 8,004,136

Collatz Trajectory (142 steps to reach 1)

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

8,004,136 4,002,068 2,001,034 1,000,517 3,001,552 1,500,776 750,388 375,194 187,597 562,792 281,396 140,698 70,349 211,048 105,524 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

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