9,817,698

2 × 3 × 11² × 13523

9,817,698 factors as 2 × 3 × 11^2 × 13523. Its 24 positive divisors give a proper-divisor sum of 11,766,606, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 13523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,584,304

Proper Divisor Sum 11,766,606

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9817673 ← → #9817727

Radix Representation

Decimal	9817698
Binary	100101011100111001100010 (24 bits)
Octal	0o45347142
Hexadecimal	0x95CE62

Divisor Catalog (24)

1 2 3 6 11 22 33 66 121 242 363 726 13,523 27,046 40,569 81,138 148,753 297,506 446,259 892,518 1,636,283 3,272,566 4,908,849 9,817,698

Collatz Trajectory (145 steps to reach 1)

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

9,817,698 4,908,849 14,726,548 7,363,274 3,681,637 11,044,912 5,522,456 2,761,228 1,380,614 690,307 2,070,922 1,035,461 3,106,384 1,553,192 776,596 388,298 194,149 582,448 291,224 145,612 72,806 36,403 109,210 54,605 163,816 81,908 40,954 20,477 61,432 30,716 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279

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