8,102,632

2³ × 1012829

Starting at 8,102,632, the Collatz iteration reaches 1 after 85 steps. The first transition is 4051316; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1012829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,192,450

Proper Divisor Sum 7,089,818

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8102609 ← → #8102639

Radix Representation

Decimal	8102632
Binary	11110111010001011101000 (23 bits)
Octal	0o36721350
Hexadecimal	0x7BA2E8

Divisor Catalog (8)

1 2 4 8 1,012,829 2,025,658 4,051,316 8,102,632

Collatz Trajectory (85 steps to reach 1)

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

8,102,632 4,051,316 2,025,658 1,012,829 3,038,488 1,519,244 759,622 379,811 1,139,434 569,717 1,709,152 854,576 427,288 213,644 106,822 53,411 160,234 80,117 240,352 120,176 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584

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