29,596,201

17² × 102409

29,596,201 factors as 17^2 × 102409. Its 6 positive divisors give a proper-divisor sum of 1,843,669, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 17^2 × 102409

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 31,439,870

Proper Divisor Sum 1,843,669

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #29596199 ← → #29596213

Radix Representation

Decimal	29596201
Binary	1110000111001101000101001 (25 bits)
Octal	0o160715051
Hexadecimal	0x1C39A29

Divisor Catalog (6)

1 17 289 102,409 1,740,953 29,596,201

Collatz Trajectory (193 steps to reach 1)

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

29,596,201 88,788,604 44,394,302 22,197,151 66,591,454 33,295,727 99,887,182 49,943,591 149,830,774 74,915,387 224,746,162 112,373,081 337,119,244 168,559,622 84,279,811 252,839,434 126,419,717 379,259,152 189,629,576 94,814,788 47,407,394 23,703,697 71,111,092 35,555,546 17,777,773 53,333,320 26,666,660 13,333,330 6,666,665 19,999,996 9,999,998 4,999,999 14,999,998 7,499,999 22,499,998 11,249,999 33,749,998 16,874,999 50,624,998 25,312,499 75,937,498 37,968,749 113,906,248 56,953,124 28,476,562 14,238,281 42,714,844 21,357,422 10,678,711 32,036,134 16,018,067 48,054,202 24,027,101 72,081,304 36,040,652 18,020,326 9,010,163 27,030,490 13,515,245 40,545,736

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