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Atlas › Integer Profiles › Node 3,786,002

3,786,002

2 × 11 × 17 × 53 × 191
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 17 × 53 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,718,464
Proper Divisor Sum 2,932,462
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3785993 ← → #3786011

Radix Representation

Decimal 3786002
Binary 1110011100010100010010 (22 bits)
Octal 0o16342422
Hexadecimal 0x39C512

Divisor Catalog (32)

1 2 11 17 22 34 53 106 187 191 374 382 583 901 1,166 1,802 2,101 3,247 4,202 6,494 9,911 10,123 19,822 20,246 35,717 71,434 111,353 172,091 222,706 344,182 1,893,001 3,786,002

Collatz Trajectory (247 steps to reach 1)

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

3,786,002 1,893,001 5,679,004 2,839,502 1,419,751 4,259,254 2,129,627 6,388,882 3,194,441 9,583,324 4,791,662 2,395,831 7,187,494 3,593,747 10,781,242 5,390,621 16,171,864 8,085,932 4,042,966 2,021,483 6,064,450 3,032,225 9,096,676 4,548,338 2,274,169 6,822,508 3,411,254 1,705,627 5,116,882 2,558,441 7,675,324 3,837,662 1,918,831 5,756,494 2,878,247 8,634,742 4,317,371 12,952,114 6,476,057 19,428,172 9,714,086 4,857,043 14,571,130 7,285,565 21,856,696 10,928,348 5,464,174 2,732,087 8,196,262 4,098,131 12,294,394 6,147,197 18,441,592 9,220,796 4,610,398 2,305,199 6,915,598 3,457,799 10,373,398 5,186,699

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