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Atlas › Integer Profiles › Node 11,638,632

11,638,632

23 × 3 × 337 × 1439
Abundant Even Composite

11,638,632 factors as 2^3 × 3 × 337 × 1439. Its 32 positive divisors give a proper-divisor sum of 17,564,568, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 337 × 1439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,203,200
Proper Divisor Sum 17,564,568
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11638631 ← → #11638639

Radix Representation

Decimal 11638632
Binary 101100011001011101101000 (24 bits)
Octal 0o54313550
Hexadecimal 0xB19768

Divisor Catalog (32)

1 2 3 4 6 8 12 24 337 674 1,011 1,348 1,439 2,022 2,696 2,878 4,044 4,317 5,756 8,088 8,634 11,512 17,268 34,536 484,943 969,886 1,454,829 1,939,772 2,909,658 3,879,544 5,819,316 11,638,632

Collatz Trajectory (215 steps to reach 1)

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

11,638,632 5,819,316 2,909,658 1,454,829 4,364,488 2,182,244 1,091,122 545,561 1,636,684 818,342 409,171 1,227,514 613,757 1,841,272 920,636 460,318 230,159 690,478 345,239 1,035,718 517,859 1,553,578 776,789 2,330,368 1,165,184 582,592 291,296 145,648 72,824 36,412 18,206 9,103 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311

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