2,059,127

7² × 42023

2,059,127 factors as 7^2 × 42023. Its 6 positive divisors give a proper-divisor sum of 336,241, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 7^2 × 42023

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,395,368

Proper Divisor Sum 336,241

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2059097 ← → #2059133

Radix Representation

Decimal	2059127
Binary	111110110101101110111 (21 bits)
Octal	0o7665567
Hexadecimal	0x1F6B77

Divisor Catalog (6)

1 7 49 42,023 294,161 2,059,127

Collatz Trajectory (166 steps to reach 1)

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

2,059,127 6,177,382 3,088,691 9,266,074 4,633,037 13,899,112 6,949,556 3,474,778 1,737,389 5,212,168 2,606,084 1,303,042 651,521 1,954,564 977,282 488,641 1,465,924 732,962 366,481 1,099,444 549,722 274,861 824,584 412,292 206,146 103,073 309,220 154,610 77,305 231,916 115,958 57,979 173,938 86,969 260,908 130,454 65,227 195,682 97,841 293,524 146,762 73,381 220,144 110,072 55,036 27,518 13,759 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367

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