7,515,068

2² × 11² × 15527

Starting at 7,515,068, the Collatz iteration reaches 1 after 85 steps. The first transition is 3757534; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 15527

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,456,568

Proper Divisor Sum 6,941,500

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7515061 ← → #7515073

Radix Representation

Decimal	7515068
Binary	11100101010101110111100 (23 bits)
Octal	0o34525674
Hexadecimal	0x72ABBC

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 15,527 31,054 62,108 170,797 341,594 683,188 1,878,767 3,757,534 7,515,068

Collatz Trajectory (85 steps to reach 1)

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

7,515,068 3,757,534 1,878,767 5,636,302 2,818,151 8,454,454 4,227,227 12,681,682 6,340,841 19,022,524 9,511,262 4,755,631 14,266,894 7,133,447 21,400,342 10,700,171 32,100,514 16,050,257 48,150,772 24,075,386 12,037,693 36,113,080 18,056,540 9,028,270 4,514,135 13,542,406 6,771,203 20,313,610 10,156,805 30,470,416 15,235,208 7,617,604 3,808,802 1,904,401 5,713,204 2,856,602 1,428,301 4,284,904 2,142,452 1,071,226 535,613 1,606,840 803,420 401,710 200,855 602,566 301,283 903,850 451,925 1,355,776 677,888 338,944 169,472 84,736 42,368 21,184 10,592 5,296 2,648 1,324

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