8,203,562

2 × 593 × 6917

Starting at 8,203,562, the Collatz iteration reaches 1 after 80 steps. The first transition is 4101781; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 593 × 6917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,327,876

Proper Divisor Sum 4,124,314

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8203543 ← → #8203577

Radix Representation

Decimal	8203562
Binary	11111010010110100101010 (23 bits)
Octal	0o37226452
Hexadecimal	0x7D2D2A

Divisor Catalog (8)

1 2 593 1,186 6,917 13,834 4,101,781 8,203,562

Collatz Trajectory (80 steps to reach 1)

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

8,203,562 4,101,781 12,305,344 6,152,672 3,076,336 1,538,168 769,084 384,542 192,271 576,814 288,407 865,222 432,611 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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