7,311,502

2 × 11 × 109 × 3049

Starting at 7,311,502, the Collatz iteration reaches 1 after 204 steps. The first transition is 3655751; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 109 × 3049

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,078,000

Proper Divisor Sum 4,766,498

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7311497 ← → #7311583

Radix Representation

Decimal	7311502
Binary	11011111001000010001110 (23 bits)
Octal	0o33710216
Hexadecimal	0x6F908E

Divisor Catalog (16)

1 2 11 22 109 218 1,199 2,398 3,049 6,098 33,539 67,078 332,341 664,682 3,655,751 7,311,502

Collatz Trajectory (204 steps to reach 1)

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

7,311,502 3,655,751 10,967,254 5,483,627 16,450,882 8,225,441 24,676,324 12,338,162 6,169,081 18,507,244 9,253,622 4,626,811 13,880,434 6,940,217 20,820,652 10,410,326 5,205,163 15,615,490 7,807,745 23,423,236 11,711,618 5,855,809 17,567,428 8,783,714 4,391,857 13,175,572 6,587,786 3,293,893 9,881,680 4,940,840 2,470,420 1,235,210 617,605 1,852,816 926,408 463,204 231,602 115,801 347,404 173,702 86,851 260,554 130,277 390,832 195,416 97,708 48,854 24,427 73,282 36,641 109,924 54,962 27,481 82,444 41,222 20,611 61,834 30,917 92,752 46,376

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