98,797,426

2 × 7² × 13 × 77549

98,797,426 factors as 2 × 7^2 × 13 × 77549. Its 24 positive divisors give a proper-divisor sum of 86,857,274, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 77549

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 185,654,700

Proper Divisor Sum 86,857,274

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #98797411 ← → #98797429

Radix Representation

Decimal	98797426
Binary	101111000111000011101110010 (27 bits)
Octal	0o570703562
Hexadecimal	0x5E38772

Divisor Catalog (24)

Collatz Trajectory (200 steps to reach 1)

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

98,797,426 49,398,713 148,196,140 74,098,070 37,049,035 111,147,106 55,573,553 166,720,660 83,360,330 41,680,165 125,040,496 62,520,248 31,260,124 15,630,062 7,815,031 23,445,094 11,722,547 35,167,642 17,583,821 52,751,464 26,375,732 13,187,866 6,593,933 19,781,800 9,890,900 4,945,450 2,472,725 7,418,176 3,709,088 1,854,544 927,272 463,636 231,818 115,909 347,728 173,864 86,932 43,466 21,733 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414

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