2,005,305

3 × 5 × 43 × 3109

Starting at 2,005,305, the Collatz iteration reaches 1 after 91 steps. The first transition is 6015916; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 3109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,284,160

Proper Divisor Sum 1,278,855

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2005277 ← → #2005319

Radix Representation

Decimal	2005305
Binary	111101001100100111001 (21 bits)
Octal	0o7514471
Hexadecimal	0x1E9939

Divisor Catalog (16)

1 3 5 15 43 129 215 645 3,109 9,327 15,545 46,635 133,687 401,061 668,435 2,005,305

Collatz Trajectory (91 steps to reach 1)

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

2,005,305 6,015,916 3,007,958 1,503,979 4,511,938 2,255,969 6,767,908 3,383,954 1,691,977 5,075,932 2,537,966 1,268,983 3,806,950 1,903,475 5,710,426 2,855,213 8,565,640 4,282,820 2,141,410 1,070,705 3,212,116 1,606,058 803,029 2,409,088 1,204,544 602,272 301,136 150,568 75,284 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59

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