8,091,670

2 × 5 × 83 × 9749

Starting at 8,091,670, the Collatz iteration reaches 1 after 199 steps. The first transition is 4045835; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 83 × 9749

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,742,000

Proper Divisor Sum 6,650,330

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8091617 ← → #8091679

Radix Representation

Decimal	8091670
Binary	11110110111100000010110 (23 bits)
Octal	0o36674026
Hexadecimal	0x7B7816

Divisor Catalog (16)

1 2 5 10 83 166 415 830 9,749 19,498 48,745 97,490 809,167 1,618,334 4,045,835 8,091,670

Collatz Trajectory (199 steps to reach 1)

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

8,091,670 4,045,835 12,137,506 6,068,753 18,206,260 9,103,130 4,551,565 13,654,696 6,827,348 3,413,674 1,706,837 5,120,512 2,560,256 1,280,128 640,064 320,032 160,016 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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