7,769,623

31 × 41 × 6113

Starting at 7,769,623, the Collatz iteration reaches 1 after 98 steps. The first transition is 23308870; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 41 × 6113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,217,216

Proper Divisor Sum 447,593

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7769579 ← → #7769633

Radix Representation

Decimal	7769623
Binary	11101101000111000010111 (23 bits)
Octal	0o35507027
Hexadecimal	0x768E17

Divisor Catalog (8)

1 31 41 1,271 6,113 189,503 250,633 7,769,623

Collatz Trajectory (98 steps to reach 1)

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

7,769,623 23,308,870 11,654,435 34,963,306 17,481,653 52,444,960 26,222,480 13,111,240 6,555,620 3,277,810 1,638,905 4,916,716 2,458,358 1,229,179 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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