2,767,127

11 × 107 × 2351

2,767,127 factors as 11 × 107 × 2351. Its 8 positive divisors give a proper-divisor sum of 281,065, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 11 × 107 × 2351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,048,192

Proper Divisor Sum 281,065

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2767117 ← → #2767129

Radix Representation

Decimal	2767127
Binary	1010100011100100010111 (22 bits)
Octal	0o12434427
Hexadecimal	0x2A3917

Divisor Catalog (8)

1 11 107 1,177 2,351 25,861 251,557 2,767,127

Collatz Trajectory (200 steps to reach 1)

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

2,767,127 8,301,382 4,150,691 12,452,074 6,226,037 18,678,112 9,339,056 4,669,528 2,334,764 1,167,382 583,691 1,751,074 875,537 2,626,612 1,313,306 656,653 1,969,960 984,980 492,490 246,245 738,736 369,368 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840

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