λ
Ratio Atlas

12,381,823

12381823
Deficient Odd Prime

12,381,823 factors as 12381823. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 12381823
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 12,381,824
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12381781 ← → #12381827

Radix Representation

Decimal 12381823
Binary 101111001110111001111111 (24 bits)
Octal 0o57167177
Hexadecimal 0xBCEE7F

Divisor Catalog (2)

Collatz Trajectory (166 steps to reach 1)

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

12,381,823 37,145,470 18,572,735 55,718,206 27,859,103 83,577,310 41,788,655 125,365,966 62,682,983 188,048,950 94,024,475 282,073,426 141,036,713 423,110,140 211,555,070 105,777,535 317,332,606 158,666,303 475,998,910 237,999,455 713,998,366 356,999,183 1,070,997,550 535,498,775 1,606,496,326 803,248,163 2,409,744,490 1,204,872,245 3,614,616,736 1,807,308,368 903,654,184 451,827,092 225,913,546 112,956,773 338,870,320 169,435,160 84,717,580 42,358,790 21,179,395 63,538,186 31,769,093 95,307,280 47,653,640 23,826,820 11,913,410 5,956,705 17,870,116 8,935,058 4,467,529 13,402,588 6,701,294 3,350,647 10,051,942 5,025,971 15,077,914 7,538,957 22,616,872 11,308,436 5,654,218 2,827,109

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