605,657

13 × 46589

Starting at 605,657, the Collatz iteration reaches 1 after 203 steps. The first transition is 1816972; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 46589

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 652,260

Proper Divisor Sum 46,603

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #605641 ← → #605687

Radix Representation

Decimal	605657
Binary	10010011110111011001 (20 bits)
Octal	0o2236731
Hexadecimal	0x93DD9

Divisor Catalog (4)

1 13 46,589 605,657

Collatz Trajectory (203 steps to reach 1)

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

605,657 1,816,972 908,486 454,243 1,362,730 681,365 2,044,096 1,022,048 511,024 255,512 127,756 63,878 31,939 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400

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