11,638,671

3 × 11 × 31² × 367

11,638,671 factors as 3 × 11 × 31^2 × 367. Its 24 positive divisors give a proper-divisor sum of 5,901,681, so this integer is deficient. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 3 × 11 × 31^2 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,540,352

Proper Divisor Sum 5,901,681

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #11638663 ← → #11638673

Radix Representation

Decimal	11638671
Binary	101100011001011110001111 (24 bits)
Octal	0o54313617
Hexadecimal	0xB1978F

Divisor Catalog (24)

Collatz Trajectory (277 steps to reach 1)

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

11,638,671 34,916,014 17,458,007 52,374,022 26,187,011 78,561,034 39,280,517 117,841,552 58,920,776 29,460,388 14,730,194 7,365,097 22,095,292 11,047,646 5,523,823 16,571,470 8,285,735 24,857,206 12,428,603 37,285,810 18,642,905 55,928,716 27,964,358 13,982,179 41,946,538 20,973,269 62,919,808 31,459,904 15,729,952 7,864,976 3,932,488 1,966,244 983,122 491,561 1,474,684 737,342 368,671 1,106,014 553,007 1,659,022 829,511 2,488,534 1,244,267 3,732,802 1,866,401 5,599,204 2,799,602 1,399,801 4,199,404 2,099,702 1,049,851 3,149,554 1,574,777 4,724,332 2,362,166 1,181,083 3,543,250 1,771,625 5,314,876 2,657,438

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