2,003,667

3 × 61 × 10949

Starting at 2,003,667, the Collatz iteration reaches 1 after 91 steps. The first transition is 6011002; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 10949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,715,600

Proper Divisor Sum 711,933

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2003663 ← → #2003669

Radix Representation

Decimal	2003667
Binary	111101001001011010011 (21 bits)
Octal	0o7511323
Hexadecimal	0x1E92D3

Divisor Catalog (8)

1 3 61 183 10,949 32,847 667,889 2,003,667

Collatz Trajectory (91 steps to reach 1)

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

2,003,667 6,011,002 3,005,501 9,016,504 4,508,252 2,254,126 1,127,063 3,381,190 1,690,595 5,071,786 2,535,893 7,607,680 3,803,840 1,901,920 950,960 475,480 237,740 118,870 59,435 178,306 89,153 267,460 133,730 66,865 200,596 100,298 50,149 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712

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