2,007,034

2 × 1003517

Starting at 2,007,034, the Collatz iteration reaches 1 after 259 steps. The first transition is 1003517; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 1003517

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,010,554

Proper Divisor Sum 1,003,520

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2007029 ← → #2007043

Radix Representation

Decimal	2007034
Binary	111101001111111111010 (21 bits)
Octal	0o7517772
Hexadecimal	0x1E9FFA

Divisor Catalog (4)

1 2 1,003,517 2,007,034

Collatz Trajectory (259 steps to reach 1)

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

2,007,034 1,003,517 3,010,552 1,505,276 752,638 376,319 1,128,958 564,479 1,693,438 846,719 2,540,158 1,270,079 3,810,238 1,905,119 5,715,358 2,857,679 8,573,038 4,286,519 12,859,558 6,429,779 19,289,338 9,644,669 28,934,008 14,467,004 7,233,502 3,616,751 10,850,254 5,425,127 16,275,382 8,137,691 24,413,074 12,206,537 36,619,612 18,309,806 9,154,903 27,464,710 13,732,355 41,197,066 20,598,533 61,795,600 30,897,800 15,448,900 7,724,450 3,862,225 11,586,676 5,793,338 2,896,669 8,690,008 4,345,004 2,172,502 1,086,251 3,258,754 1,629,377 4,888,132 2,444,066 1,222,033 3,666,100 1,833,050 916,525 2,749,576

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