λ
Sigma Notebook

2,687,223

3 × 7 × 11 × 11633
Deficient Odd Composite

2,687,223 is odd and not a perfect square. Its factorization is 3 × 7 × 11 × 11633 and its 16 divisors sum to 4,467,456.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 11633
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,467,456
Proper Divisor Sum 1,780,233
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2687221 ← → #2687231

Radix Representation

Decimal 2687223
Binary 1010010000000011110111 (22 bits)
Octal 0o12200367
Hexadecimal 0x2900F7

Divisor Catalog (16)

1 3 7 11 21 33 77 231 11,633 34,899 81,431 127,963 244,293 383,889 895,741 2,687,223

Collatz Trajectory (200 steps to reach 1)

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

2,687,223 8,061,670 4,030,835 12,092,506 6,046,253 18,138,760 9,069,380 4,534,690 2,267,345 6,802,036 3,401,018 1,700,509 5,101,528 2,550,764 1,275,382 637,691 1,913,074 956,537 2,869,612 1,434,806 717,403 2,152,210 1,076,105 3,228,316 1,614,158 807,079 2,421,238 1,210,619 3,631,858 1,815,929 5,447,788 2,723,894 1,361,947 4,085,842 2,042,921 6,128,764 3,064,382 1,532,191 4,596,574 2,298,287 6,894,862 3,447,431 10,342,294 5,171,147 15,513,442 7,756,721 23,270,164 11,635,082 5,817,541 17,452,624 8,726,312 4,363,156 2,181,578 1,090,789 3,272,368 1,636,184 818,092 409,046 204,523 613,570

More profiles

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