λ
Ratio Atlas

98,413,209

32 × 53 × 193 × 1069
Deficient Odd Composite

98,413,209 factors as 3^2 × 53 × 193 × 1069. Its 24 positive divisors give a proper-divisor sum of 47,307,951, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 3^2 × 53 × 193 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 145,721,160
Proper Divisor Sum 47,307,951
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #98413207 ← → #98413213

Radix Representation

Decimal 98413209
Binary 101110111011010101010011001 (27 bits)
Octal 0o567325231
Hexadecimal 0x5DDAA99

Divisor Catalog (24)

Collatz Trajectory (249 steps to reach 1)

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

98,413,209 295,239,628 147,619,814 73,809,907 221,429,722 110,714,861 332,144,584 166,072,292 83,036,146 41,518,073 124,554,220 62,277,110 31,138,555 93,415,666 46,707,833 140,123,500 70,061,750 35,030,875 105,092,626 52,546,313 157,638,940 78,819,470 39,409,735 118,229,206 59,114,603 177,343,810 88,671,905 266,015,716 133,007,858 66,503,929 199,511,788 99,755,894 49,877,947 149,633,842 74,816,921 224,450,764 112,225,382 56,112,691 168,338,074 84,169,037 252,507,112 126,253,556 63,126,778 31,563,389 94,690,168 47,345,084 23,672,542 11,836,271 35,508,814 17,754,407 53,263,222 26,631,611 79,894,834 39,947,417 119,842,252 59,921,126 29,960,563 89,881,690 44,940,845 134,822,536

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