1,667,167

107 × 15581

1,667,167 factors as 107 × 15581. Its 4 positive divisors give a proper-divisor sum of 15,689, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 107 × 15581

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,682,856

Proper Divisor Sum 15,689

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1667147 ← → #1667179

Radix Representation

Decimal	1667167
Binary	110010111000001011111 (21 bits)
Octal	0o6270137
Hexadecimal	0x19705F

Divisor Catalog (4)

1 107 15,581 1,667,167

Collatz Trajectory (137 steps to reach 1)

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

1,667,167 5,001,502 2,500,751 7,502,254 3,751,127 11,253,382 5,626,691 16,880,074 8,440,037 25,320,112 12,660,056 6,330,028 3,165,014 1,582,507 4,747,522 2,373,761 7,121,284 3,560,642 1,780,321 5,340,964 2,670,482 1,335,241 4,005,724 2,002,862 1,001,431 3,004,294 1,502,147 4,506,442 2,253,221 6,759,664 3,379,832 1,689,916 844,958 422,479 1,267,438 633,719 1,901,158 950,579 2,851,738 1,425,869 4,277,608 2,138,804 1,069,402 534,701 1,604,104 802,052 401,026 200,513 601,540 300,770 150,385 451,156 225,578 112,789 338,368 169,184 84,592 42,296 21,148 10,574

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