204,368

2⁴ × 53 × 241

Starting at 204,368, the Collatz iteration reaches 1 after 41 steps. The first transition is 102184; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 53 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 405,108

Proper Divisor Sum 200,740

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #204367 ← → #204371

Radix Representation

Decimal	204368
Binary	110001111001010000 (18 bits)
Octal	0o617120
Hexadecimal	0x31E50

Divisor Catalog (20)

1 2 4 8 16 53 106 212 241 424 482 848 964 1,928 3,856 12,773 25,546 51,092 102,184 204,368

Collatz Trajectory (41 steps to reach 1)

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

204,368 102,184 51,092 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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