7,201,865

5 × 11 × 37 × 3539

Starting at 7,201,865, the Collatz iteration reaches 1 after 90 steps. The first transition is 21605596; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 37 × 3539

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,685,440

Proper Divisor Sum 2,483,575

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7201861 ← → #7201867

Radix Representation

Decimal	7201865
Binary	11011011110010001001001 (23 bits)
Octal	0o33362111
Hexadecimal	0x6DE449

Divisor Catalog (16)

1 5 11 37 55 185 407 2,035 3,539 17,695 38,929 130,943 194,645 654,715 1,440,373 7,201,865

Collatz Trajectory (90 steps to reach 1)

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

7,201,865 21,605,596 10,802,798 5,401,399 16,204,198 8,102,099 24,306,298 12,153,149 36,459,448 18,229,724 9,114,862 4,557,431 13,672,294 6,836,147 20,508,442 10,254,221 30,762,664 15,381,332 7,690,666 3,845,333 11,536,000 5,768,000 2,884,000 1,442,000 721,000 360,500 180,250 90,125 270,376 135,188 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

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