3,081,001

7 × 11 × 40013

Starting at 3,081,001, the Collatz iteration reaches 1 after 76 steps. The first transition is 9243004; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 40013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,841,344

Proper Divisor Sum 760,343

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #3080981 ← → #3081007

Radix Representation

Decimal	3081001
Binary	1011110000001100101001 (22 bits)
Octal	0o13601451
Hexadecimal	0x2F0329

Divisor Catalog (8)

1 7 11 77 40,013 280,091 440,143 3,081,001

Collatz Trajectory (76 steps to reach 1)

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

3,081,001 9,243,004 4,621,502 2,310,751 6,932,254 3,466,127 10,398,382 5,199,191 15,597,574 7,798,787 23,396,362 11,698,181 35,094,544 17,547,272 8,773,636 4,386,818 2,193,409 6,580,228 3,290,114 1,645,057 4,935,172 2,467,586 1,233,793 3,701,380 1,850,690 925,345 2,776,036 1,388,018 694,009 2,082,028 1,041,014 520,507 1,561,522 780,761 2,342,284 1,171,142 585,571 1,756,714 878,357 2,635,072 1,317,536 658,768 329,384 164,692 82,346 41,173 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544

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