λ
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8,553,896

23 × 13 × 233 × 353
Abundant Even Composite

8,553,896 factors as 2^3 × 13 × 233 × 353. Its 32 positive divisors give a proper-divisor sum of 8,841,664, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 233 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,395,560
Proper Divisor Sum 8,841,664
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8553877 ← → #8553911

Radix Representation

Decimal 8553896
Binary 100000101000010110101000 (24 bits)
Octal 0o40502650
Hexadecimal 0x8285A8

Divisor Catalog (32)

1 2 4 8 13 26 52 104 233 353 466 706 932 1,412 1,864 2,824 3,029 4,589 6,058 9,178 12,116 18,356 24,232 36,712 82,249 164,498 328,996 657,992 1,069,237 2,138,474 4,276,948 8,553,896

Collatz Trajectory (168 steps to reach 1)

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

8,553,896 4,276,948 2,138,474 1,069,237 3,207,712 1,603,856 801,928 400,964 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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