7,665,003

3³ × 23 × 12343

Starting at 7,665,003, the Collatz iteration reaches 1 after 186 steps. The first transition is 22995010; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 23 × 12343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,850,240

Proper Divisor Sum 4,185,237

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7664983 ← → #7665017

Radix Representation

Decimal	7665003
Binary	11101001111010101101011 (23 bits)
Octal	0o35172553
Hexadecimal	0x74F56B

Divisor Catalog (16)

1 3 9 23 27 69 207 621 12,343 37,029 111,087 283,889 333,261 851,667 2,555,001 7,665,003

Collatz Trajectory (186 steps to reach 1)

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

7,665,003 22,995,010 11,497,505 34,492,516 17,246,258 8,623,129 25,869,388 12,934,694 6,467,347 19,402,042 9,701,021 29,103,064 14,551,532 7,275,766 3,637,883 10,913,650 5,456,825 16,370,476 8,185,238 4,092,619 12,277,858 6,138,929 18,416,788 9,208,394 4,604,197 13,812,592 6,906,296 3,453,148 1,726,574 863,287 2,589,862 1,294,931 3,884,794 1,942,397 5,827,192 2,913,596 1,456,798 728,399 2,185,198 1,092,599 3,277,798 1,638,899 4,916,698 2,458,349 7,375,048 3,687,524 1,843,762 921,881 2,765,644 1,382,822 691,411 2,074,234 1,037,117 3,111,352 1,555,676 777,838 388,919 1,166,758 583,379 1,750,138

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