7,167,026

2 × 1361 × 2633

Starting at 7,167,026, the Collatz iteration reaches 1 after 142 steps. The first transition is 3583513; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1361 × 2633

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,762,524

Proper Divisor Sum 3,595,498

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7167019 ← → #7167029

Radix Representation

Decimal	7167026
Binary	11011010101110000110010 (23 bits)
Octal	0o33256062
Hexadecimal	0x6D5C32

Divisor Catalog (8)

1 2 1,361 2,633 2,722 5,266 3,583,513 7,167,026

Collatz Trajectory (142 steps to reach 1)

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

7,167,026 3,583,513 10,750,540 5,375,270 2,687,635 8,062,906 4,031,453 12,094,360 6,047,180 3,023,590 1,511,795 4,535,386 2,267,693 6,803,080 3,401,540 1,700,770 850,385 2,551,156 1,275,578 637,789 1,913,368 956,684 478,342 239,171 717,514 358,757 1,076,272 538,136 269,068 134,534 67,267 201,802 100,901 302,704 151,352 75,676 37,838 18,919 56,758 28,379 85,138 42,569 127,708 63,854 31,927 95,782 47,891 143,674 71,837 215,512 107,756 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461

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