6,628,431

3 × 617 × 3581

Starting at 6,628,431, the Collatz iteration reaches 1 after 178 steps. The first transition is 19885294; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 617 × 3581

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,854,704

Proper Divisor Sum 2,226,273

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6628423 ← → #6628477

Radix Representation

Decimal	6628431
Binary	11001010010010001001111 (23 bits)
Octal	0o31222117
Hexadecimal	0x65244F

Divisor Catalog (8)

1 3 617 1,851 3,581 10,743 2,209,477 6,628,431

Collatz Trajectory (178 steps to reach 1)

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

6,628,431 19,885,294 9,942,647 29,827,942 14,913,971 44,741,914 22,370,957 67,112,872 33,556,436 16,778,218 8,389,109 25,167,328 12,583,664 6,291,832 3,145,916 1,572,958 786,479 2,359,438 1,179,719 3,539,158 1,769,579 5,308,738 2,654,369 7,963,108 3,981,554 1,990,777 5,972,332 2,986,166 1,493,083 4,479,250 2,239,625 6,718,876 3,359,438 1,679,719 5,039,158 2,519,579 7,558,738 3,779,369 11,338,108 5,669,054 2,834,527 8,503,582 4,251,791 12,755,374 6,377,687 19,133,062 9,566,531 28,699,594 14,349,797 43,049,392 21,524,696 10,762,348 5,381,174 2,690,587 8,071,762 4,035,881 12,107,644 6,053,822 3,026,911 9,080,734

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