8,010,584

2³ × 1001323

Starting at 8,010,584, the Collatz iteration reaches 1 after 142 steps. The first transition is 4005292; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1001323

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,019,860

Proper Divisor Sum 7,009,276

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8010557 ← → #8010589

Radix Representation

Decimal	8010584
Binary	11110100011101101011000 (23 bits)
Octal	0o36435530
Hexadecimal	0x7A3B58

Divisor Catalog (8)

1 2 4 8 1,001,323 2,002,646 4,005,292 8,010,584

Collatz Trajectory (142 steps to reach 1)

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

8,010,584 4,005,292 2,002,646 1,001,323 3,003,970 1,501,985 4,505,956 2,252,978 1,126,489 3,379,468 1,689,734 844,867 2,534,602 1,267,301 3,801,904 1,900,952 950,476 475,238 237,619 712,858 356,429 1,069,288 534,644 267,322 133,661 400,984 200,492 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 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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