λ
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998,352

24 × 33 × 2311
Abundant Even Composite

998,352 factors as 2^4 × 3^3 × 2311. Its 40 positive divisors give a proper-divisor sum of 1,868,528, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 2311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,866,880
Proper Divisor Sum 1,868,528
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #998329 ← → #998353

Radix Representation

Decimal 998352
Binary 11110011101111010000 (20 bits)
Octal 0o3635720
Hexadecimal 0xF3BD0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2,311 4,622 6,933 9,244 13,866 18,488 20,799 27,732 36,976 41,598 55,464 62,397 83,196 110,928 124,794 166,392 249,588 332,784 499,176 998,352

Collatz Trajectory (90 steps to reach 1)

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

998,352 499,176 249,588 124,794 62,397 187,192 93,596 46,798 23,399 70,198 35,099 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542 133,271 399,814 199,907 599,722 299,861 899,584 449,792 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

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