7,769,625

3 × 5³ × 20719

Starting at 7,769,625, the Collatz iteration reaches 1 after 98 steps. The first transition is 23308876; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^3 × 20719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,929,280

Proper Divisor Sum 5,159,655

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7769579 ← → #7769633

Radix Representation

Decimal	7769625
Binary	11101101000111000011001 (23 bits)
Octal	0o35507031
Hexadecimal	0x768E19

Divisor Catalog (16)

1 3 5 15 25 75 125 375 20,719 62,157 103,595 310,785 517,975 1,553,925 2,589,875 7,769,625

Collatz Trajectory (98 steps to reach 1)

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

7,769,625 23,308,876 11,654,438 5,827,219 17,481,658 8,740,829 26,222,488 13,111,244 6,555,622 3,277,811 9,833,434 4,916,717 14,750,152 7,375,076 3,687,538 1,843,769 5,531,308 2,765,654 1,382,827 4,148,482 2,074,241 6,222,724 3,111,362 1,555,681 4,667,044 2,333,522 1,166,761 3,500,284 1,750,142 875,071 2,625,214 1,312,607 3,937,822 1,968,911 5,906,734 2,953,367 8,860,102 4,430,051 13,290,154 6,645,077 19,935,232 9,967,616 4,983,808 2,491,904 1,245,952 622,976 311,488 155,744 77,872 38,936 19,468 9,734 4,867 14,602 7,301 21,904 10,952 5,476 2,738 1,369

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