λ
Ratio Atlas

1,442,127

3 × 17 × 28277
Deficient Odd Composite

1,442,127 factors as 3 × 17 × 28277. Its 8 positive divisors give a proper-divisor sum of 593,889, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3 × 17 × 28277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,036,016
Proper Divisor Sum 593,889
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1442087 ← → #1442143

Radix Representation

Decimal 1442127
Binary 101100000000101001111 (21 bits)
Octal 0o5400517
Hexadecimal 0x16014F

Divisor Catalog (8)

1 3 17 51 28,277 84,831 480,709 1,442,127

Collatz Trajectory (181 steps to reach 1)

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

1,442,127 4,326,382 2,163,191 6,489,574 3,244,787 9,734,362 4,867,181 14,601,544 7,300,772 3,650,386 1,825,193 5,475,580 2,737,790 1,368,895 4,106,686 2,053,343 6,160,030 3,080,015 9,240,046 4,620,023 13,860,070 6,930,035 20,790,106 10,395,053 31,185,160 15,592,580 7,796,290 3,898,145 11,694,436 5,847,218 2,923,609 8,770,828 4,385,414 2,192,707 6,578,122 3,289,061 9,867,184 4,933,592 2,466,796 1,233,398 616,699 1,850,098 925,049 2,775,148 1,387,574 693,787 2,081,362 1,040,681 3,122,044 1,561,022 780,511 2,341,534 1,170,767 3,512,302 1,756,151 5,268,454 2,634,227 7,902,682 3,951,341 11,854,024

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