λ
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Atlas › Integer Profiles › Node 98,763,561

98,763,561

32 × 13 × 43 × 67 × 293
Deficient Odd Composite

98,763,561 factors as 3^2 × 13 × 43 × 67 × 293. Its 48 positive divisors give a proper-divisor sum of 61,332,375, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 43 × 67 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 160,095,936
Proper Divisor Sum 61,332,375
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #98763559 ← → #98763571

Radix Representation

Decimal 98763561
Binary 101111000110000001100101001 (27 bits)
Octal 0o570601451
Hexadecimal 0x5E30329

Divisor Catalog (48)

1 3 9 13 39 43 67 117 129 201 293 387 559 603 871 879 1,677 2,613 2,637 2,881 3,809 5,031 7,839 8,643 11,427 12,599 19,631 25,929 34,281 37,453 37,797 58,893 112,359 113,391 163,787 176,679 255,203 337,077 491,361 765,609 844,133 1,474,083 2,296,827 2,532,399 7,597,197 10,973,729 32,921,187 98,763,561

Collatz Trajectory (213 steps to reach 1)

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

98,763,561 296,290,684 148,145,342 74,072,671 222,218,014 111,109,007 333,327,022 166,663,511 499,990,534 249,995,267 749,985,802 374,992,901 1,124,978,704 562,489,352 281,244,676 140,622,338 70,311,169 210,933,508 105,466,754 52,733,377 158,200,132 79,100,066 39,550,033 118,650,100 59,325,050 29,662,525 88,987,576 44,493,788 22,246,894 11,123,447 33,370,342 16,685,171 50,055,514 25,027,757 75,083,272 37,541,636 18,770,818 9,385,409 28,156,228 14,078,114 7,039,057 21,117,172 10,558,586 5,279,293 15,837,880 7,918,940 3,959,470 1,979,735 5,939,206 2,969,603 8,908,810 4,454,405 13,363,216 6,681,608 3,340,804 1,670,402 835,201 2,505,604 1,252,802 626,401

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