8,260,263

3² × 11 × 83437

Starting at 8,260,263, the Collatz iteration reaches 1 after 199 steps. The first transition is 24780790; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 83437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,016,328

Proper Divisor Sum 4,756,065

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8260261 ← → #8260267

Radix Representation

Decimal	8260263
Binary	11111100000101010100111 (23 bits)
Octal	0o37405247
Hexadecimal	0x7E0AA7

Divisor Catalog (12)

1 3 9 11 33 99 83,437 250,311 750,933 917,807 2,753,421 8,260,263

Collatz Trajectory (199 steps to reach 1)

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

8,260,263 24,780,790 12,390,395 37,171,186 18,585,593 55,756,780 27,878,390 13,939,195 41,817,586 20,908,793 62,726,380 31,363,190 15,681,595 47,044,786 23,522,393 70,567,180 35,283,590 17,641,795 52,925,386 26,462,693 79,388,080 39,694,040 19,847,020 9,923,510 4,961,755 14,885,266 7,442,633 22,327,900 11,163,950 5,581,975 16,745,926 8,372,963 25,118,890 12,559,445 37,678,336 18,839,168 9,419,584 4,709,792 2,354,896 1,177,448 588,724 294,362 147,181 441,544 220,772 110,386 55,193 165,580 82,790 41,395 124,186 62,093 186,280 93,140 46,570 23,285 69,856 34,928 17,464 8,732

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