2,128,689

3² × 17 × 13913

2,128,689 factors as 3^2 × 17 × 13913. Its 12 positive divisors give a proper-divisor sum of 1,127,187, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 13913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,255,876

Proper Divisor Sum 1,127,187

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2128669 ← → #2128697

Radix Representation

Decimal	2128689
Binary	1000000111101100110001 (22 bits)
Octal	0o10075461
Hexadecimal	0x207B31

Divisor Catalog (12)

1 3 9 17 51 153 13,913 41,739 125,217 236,521 709,563 2,128,689

Collatz Trajectory (148 steps to reach 1)

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

2,128,689 6,386,068 3,193,034 1,596,517 4,789,552 2,394,776 1,197,388 598,694 299,347 898,042 449,021 1,347,064 673,532 336,766 168,383 505,150 252,575 757,726 378,863 1,136,590 568,295 1,704,886 852,443 2,557,330 1,278,665 3,835,996 1,917,998 958,999 2,876,998 1,438,499 4,315,498 2,157,749 6,473,248 3,236,624 1,618,312 809,156 404,578 202,289 606,868 303,434 151,717 455,152 227,576 113,788 56,894 28,447 85,342 42,671 128,014 64,007 192,022 96,011 288,034 144,017 432,052 216,026 108,013 324,040 162,020 81,010

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