11,828,276

2² × 167 × 17707

11,828,276 factors as 2^2 × 167 × 17707. Its 12 positive divisors give a proper-divisor sum of 8,996,332, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^2 × 167 × 17707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,824,608

Proper Divisor Sum 8,996,332

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #11828273 ← → #11828287

Radix Representation

Decimal	11828276
Binary	101101000111110000110100 (24 bits)
Octal	0o55076064
Hexadecimal	0xB47C34

Divisor Catalog (12)

1 2 4 167 334 668 17,707 35,414 70,828 2,957,069 5,914,138 11,828,276

Collatz Trajectory (65 steps to reach 1)

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

11,828,276 5,914,138 2,957,069 8,871,208 4,435,604 2,217,802 1,108,901 3,326,704 1,663,352 831,676 415,838 207,919 623,758 311,879 935,638 467,819 1,403,458 701,729 2,105,188 1,052,594 526,297 1,578,892 789,446 394,723 1,184,170 592,085 1,776,256 888,128 444,064 222,032 111,016 55,508 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10

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