2,007,405

3² × 5 × 31 × 1439

2,007,405 factors as 3^2 × 5 × 31 × 1439. Its 24 positive divisors give a proper-divisor sum of 1,586,835, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 31 × 1439

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,594,240

Proper Divisor Sum 1,586,835

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2007403 ← → #2007431

Radix Representation

Decimal	2007405
Binary	111101010000101101101 (21 bits)
Octal	0o7520555
Hexadecimal	0x1EA16D

Divisor Catalog (24)

Collatz Trajectory (166 steps to reach 1)

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

2,007,405 6,022,216 3,011,108 1,505,554 752,777 2,258,332 1,129,166 564,583 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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