2,667,127

127 × 21001

2,667,127 factors as 127 × 21001. Its 4 positive divisors give a proper-divisor sum of 21,129, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 127 × 21001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,688,256

Proper Divisor Sum 21,129

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2667097 ← → #2667131

Radix Representation

Decimal	2667127
Binary	1010001011001001110111 (22 bits)
Octal	0o12131167
Hexadecimal	0x28B277

Divisor Catalog (4)

1 127 21,001 2,667,127

Collatz Trajectory (94 steps to reach 1)

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

2,667,127 8,001,382 4,000,691 12,002,074 6,001,037 18,003,112 9,001,556 4,500,778 2,250,389 6,751,168 3,375,584 1,687,792 843,896 421,948 210,974 105,487 316,462 158,231 474,694 237,347 712,042 356,021 1,068,064 534,032 267,016 133,508 66,754 33,377 100,132 50,066 25,033 75,100 37,550 18,775 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472

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