λ
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8,203,552

25 × 7 × 53 × 691
Abundant Even Composite

8,203,552 factors as 2^5 × 7 × 53 × 691. Its 48 positive divisors give a proper-divisor sum of 10,629,920, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 53 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,833,472
Proper Divisor Sum 10,629,920
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8203543 ← → #8203577

Radix Representation

Decimal 8203552
Binary 11111010010110100100000 (23 bits)
Octal 0o37226440
Hexadecimal 0x7D2D20

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 691 742 848 1,382 1,484 1,696 2,764 2,968 4,837 5,528 5,936 9,674 11,056 11,872 19,348 22,112 36,623 38,696 73,246 77,392 146,492 154,784 256,361 292,984 512,722 585,968 1,025,444 1,171,936 2,050,888 4,101,776 8,203,552

Collatz Trajectory (80 steps to reach 1)

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

8,203,552 4,101,776 2,050,888 1,025,444 512,722 256,361 769,084 384,542 192,271 576,814 288,407 865,222 432,611 1,297,834 648,917 1,946,752 973,376 486,688 243,344 121,672 60,836 30,418 15,209 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

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