3,667,009

73 × 191 × 263

Starting at 3,667,009, the Collatz iteration reaches 1 after 190 steps. The first transition is 11001028; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 73 × 191 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,750,912

Proper Divisor Sum 83,903

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3667003 ← → #3667031

Radix Representation

Decimal	3667009
Binary	1101111111010001000001 (22 bits)
Octal	0o15772101
Hexadecimal	0x37F441

Divisor Catalog (8)

1 73 191 263 13,943 19,199 50,233 3,667,009

Collatz Trajectory (190 steps to reach 1)

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

3,667,009 11,001,028 5,500,514 2,750,257 8,250,772 4,125,386 2,062,693 6,188,080 3,094,040 1,547,020 773,510 386,755 1,160,266 580,133 1,740,400 870,200 435,100 217,550 108,775 326,326 163,163 489,490 244,745 734,236 367,118 183,559 550,678 275,339 826,018 413,009 1,239,028 619,514 309,757 929,272 464,636 232,318 116,159 348,478 174,239 522,718 261,359 784,078 392,039 1,176,118 588,059 1,764,178 882,089 2,646,268 1,323,134 661,567 1,984,702 992,351 2,977,054 1,488,527 4,465,582 2,232,791 6,698,374 3,349,187 10,047,562 5,023,781

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