7,167,262

2 × 31 × 115601

Starting at 7,167,262, the Collatz iteration reaches 1 after 98 steps. The first transition is 3583631; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 115601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,097,792

Proper Divisor Sum 3,930,530

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7167253 ← → #7167287

Radix Representation

Decimal	7167262
Binary	11011010101110100011110 (23 bits)
Octal	0o33256436
Hexadecimal	0x6D5D1E

Divisor Catalog (8)

1 2 31 62 115,601 231,202 3,583,631 7,167,262

Collatz Trajectory (98 steps to reach 1)

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

7,167,262 3,583,631 10,750,894 5,375,447 16,126,342 8,063,171 24,189,514 12,094,757 36,284,272 18,142,136 9,071,068 4,535,534 2,267,767 6,803,302 3,401,651 10,204,954 5,102,477 15,307,432 7,653,716 3,826,858 1,913,429 5,740,288 2,870,144 1,435,072 717,536 358,768 179,384 89,692 44,846 22,423 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211

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