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11,635,701

3 × 7 × 11 × 17 × 2963
Deficient Odd Composite

11,635,701 factors as 3 × 7 × 11 × 17 × 2963. Its 32 positive divisors give a proper-divisor sum of 8,851,467, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 17 × 2963
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,487,168
Proper Divisor Sum 8,851,467
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #11635697 ← → #11635703

Radix Representation

Decimal 11635701
Binary 101100011000101111110101 (24 bits)
Octal 0o54305765
Hexadecimal 0xB18BF5

Divisor Catalog (32)

1 3 7 11 17 21 33 51 77 119 187 231 357 561 1,309 2,963 3,927 8,889 20,741 32,593 50,371 62,223 97,779 151,113 228,151 352,597 554,081 684,453 1,057,791 1,662,243 3,878,567 11,635,701

Collatz Trajectory (153 steps to reach 1)

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

11,635,701 34,907,104 17,453,552 8,726,776 4,363,388 2,181,694 1,090,847 3,272,542 1,636,271 4,908,814 2,454,407 7,363,222 3,681,611 11,044,834 5,522,417 16,567,252 8,283,626 4,141,813 12,425,440 6,212,720 3,106,360 1,553,180 776,590 388,295 1,164,886 582,443 1,747,330 873,665 2,620,996 1,310,498 655,249 1,965,748 982,874 491,437 1,474,312 737,156 368,578 184,289 552,868 276,434 138,217 414,652 207,326 103,663 310,990 155,495 466,486 233,243 699,730 349,865 1,049,596 524,798 262,399 787,198 393,599 1,180,798 590,399 1,771,198 885,599 2,656,798

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