8,110,001

443 × 18307

Starting at 8,110,001, the Collatz iteration reaches 1 after 85 steps. The first transition is 24330004; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 443 × 18307

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,128,752

Proper Divisor Sum 18,751

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #8109973 ← → #8110009

Radix Representation

Decimal	8110001
Binary	11110111011111110110001 (23 bits)
Octal	0o36737661
Hexadecimal	0x7BBFB1

Divisor Catalog (4)

1 443 18,307 8,110,001

Collatz Trajectory (85 steps to reach 1)

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

8,110,001 24,330,004 12,165,002 6,082,501 18,247,504 9,123,752 4,561,876 2,280,938 1,140,469 3,421,408 1,710,704 855,352 427,676 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118 38,059 114,178 57,089 171,268 85,634 42,817 128,452 64,226 32,113 96,340 48,170 24,085 72,256 36,128 18,064 9,032 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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