λ
Ratio Atlas

22,012,129

22012129
Deficient Odd Prime

22,012,129 factors as 22012129. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 22012129
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 22,012,130
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #22012117 ← → #22012141

Radix Representation

Decimal 22012129
Binary 1010011111110000011100001 (25 bits)
Octal 0o123760341
Hexadecimal 0x14FE0E1

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

22,012,129 66,036,388 33,018,194 16,509,097 49,527,292 24,763,646 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

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