2,007,406

2 × 401 × 2503

2,007,406 factors as 2 × 401 × 2503. Its 8 positive divisors give a proper-divisor sum of 1,012,418, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 401 × 2503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,019,824

Proper Divisor Sum 1,012,418

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2007403 ← → #2007431

Radix Representation

Decimal	2007406
Binary	111101010000101101110 (21 bits)
Octal	0o7520556
Hexadecimal	0x1EA16E

Divisor Catalog (8)

1 2 401 802 2,503 5,006 1,003,703 2,007,406

Collatz Trajectory (166 steps to reach 1)

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

2,007,406 1,003,703 3,011,110 1,505,555 4,516,666 2,258,333 6,775,000 3,387,500 1,693,750 846,875 2,540,626 1,270,313 3,810,940 1,905,470 952,735 2,858,206 1,429,103 4,287,310 2,143,655 6,430,966 3,215,483 9,646,450 4,823,225 14,469,676 7,234,838 3,617,419 10,852,258 5,426,129 16,278,388 8,139,194 4,069,597 12,208,792 6,104,396 3,052,198 1,526,099 4,578,298 2,289,149 6,867,448 3,433,724 1,716,862 858,431 2,575,294 1,287,647 3,862,942 1,931,471 5,794,414 2,897,207 8,691,622 4,345,811 13,037,434 6,518,717 19,556,152 9,778,076 4,889,038 2,444,519 7,333,558 3,666,779 11,000,338 5,500,169 16,500,508

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