7,030,331

7 × 11 × 91303

Starting at 7,030,331, the Collatz iteration reaches 1 after 191 steps. The first transition is 21090994; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 91303

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,765,184

Proper Divisor Sum 1,734,853

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7030319 ← → #7030343

Radix Representation

Decimal	7030331
Binary	11010110100011000111011 (23 bits)
Octal	0o32643073
Hexadecimal	0x6B463B

Divisor Catalog (8)

1 7 11 77 91,303 639,121 1,004,333 7,030,331

Collatz Trajectory (191 steps to reach 1)

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

7,030,331 21,090,994 10,545,497 31,636,492 15,818,246 7,909,123 23,727,370 11,863,685 35,591,056 17,795,528 8,897,764 4,448,882 2,224,441 6,673,324 3,336,662 1,668,331 5,004,994 2,502,497 7,507,492 3,753,746 1,876,873 5,630,620 2,815,310 1,407,655 4,222,966 2,111,483 6,334,450 3,167,225 9,501,676 4,750,838 2,375,419 7,126,258 3,563,129 10,689,388 5,344,694 2,672,347 8,017,042 4,008,521 12,025,564 6,012,782 3,006,391 9,019,174 4,509,587 13,528,762 6,764,381 20,293,144 10,146,572 5,073,286 2,536,643 7,609,930 3,804,965 11,414,896 5,707,448 2,853,724 1,426,862 713,431 2,140,294 1,070,147 3,210,442 1,605,221

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