1,603,755

3² × 5 × 157 × 227

Starting at 1,603,755, the Collatz iteration reaches 1 after 238 steps. The first transition is 4811266; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 157 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,809,872

Proper Divisor Sum 1,206,117

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1603747 ← → #1603769

Radix Representation

Decimal	1603755
Binary	110000111100010101011 (21 bits)
Octal	0o6074253
Hexadecimal	0x1878AB

Divisor Catalog (24)

1 3 5 9 15 45 157 227 471 681 785 1,135 1,413 2,043 2,355 3,405 7,065 10,215 35,639 106,917 178,195 320,751 534,585 1,603,755

Collatz Trajectory (238 steps to reach 1)

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

1,603,755 4,811,266 2,405,633 7,216,900 3,608,450 1,804,225 5,412,676 2,706,338 1,353,169 4,059,508 2,029,754 1,014,877 3,044,632 1,522,316 761,158 380,579 1,141,738 570,869 1,712,608 856,304 428,152 214,076 107,038 53,519 160,558 80,279 240,838 120,419 361,258 180,629 541,888 270,944 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054

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