11,677,828

2² × 269 × 10853

11,677,828 factors as 2^2 × 269 × 10853. Its 12 positive divisors give a proper-divisor sum of 8,836,232, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 269 × 10853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,514,060

Proper Divisor Sum 8,836,232

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #11677789 ← → #11677871

Radix Representation

Decimal	11677828
Binary	101100100011000010000100 (24 bits)
Octal	0o54430204
Hexadecimal	0xB23084

Divisor Catalog (12)

1 2 4 269 538 1,076 10,853 21,706 43,412 2,919,457 5,838,914 11,677,828

Collatz Trajectory (109 steps to reach 1)

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

11,677,828 5,838,914 2,919,457 8,758,372 4,379,186 2,189,593 6,568,780 3,284,390 1,642,195 4,926,586 2,463,293 7,389,880 3,694,940 1,847,470 923,735 2,771,206 1,385,603 4,156,810 2,078,405 6,235,216 3,117,608 1,558,804 779,402 389,701 1,169,104 584,552 292,276 146,138 73,069 219,208 109,604 54,802 27,401 82,204 41,102 20,551 61,654 30,827 92,482 46,241 138,724 69,362 34,681 104,044 52,022 26,011 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843 197,530 98,765 296,296 148,148 74,074

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