603,165

3 × 5 × 79 × 509

Starting at 603,165, the Collatz iteration reaches 1 after 203 steps. The first transition is 1809496; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 979,200

Proper Divisor Sum 376,035

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #603149 ← → #603173

Radix Representation

Decimal	603165
Binary	10010011010000011101 (20 bits)
Octal	0o2232035
Hexadecimal	0x9341D

Divisor Catalog (16)

1 3 5 15 79 237 395 509 1,185 1,527 2,545 7,635 40,211 120,633 201,055 603,165

Collatz Trajectory (203 steps to reach 1)

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

603,165 1,809,496 904,748 452,374 226,187 678,562 339,281 1,017,844 508,922 254,461 763,384 381,692 190,846 95,423 286,270 143,135 429,406 214,703 644,110 322,055 966,166 483,083 1,449,250 724,625 2,173,876 1,086,938 543,469 1,630,408 815,204 407,602 203,801 611,404 305,702 152,851 458,554 229,277 687,832 343,916 171,958 85,979 257,938 128,969 386,908 193,454 96,727 290,182 145,091 435,274 217,637 652,912 326,456 163,228 81,614 40,807 122,422 61,211 183,634 91,817 275,452 137,726

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