λ
Sequence Observatory

3,203,104

25 × 199 × 503
Deficient Even Composite

Starting at 3,203,104, the Collatz iteration reaches 1 after 164 steps. The first transition is 1601552; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 199 × 503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,350,400
Proper Divisor Sum 3,147,296
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3203099 ← → #3203107

Radix Representation

Decimal 3203104
Binary 1100001110000000100000 (22 bits)
Octal 0o14160040
Hexadecimal 0x30E020

Divisor Catalog (24)

1 2 4 8 16 32 199 398 503 796 1,006 1,592 2,012 3,184 4,024 6,368 8,048 16,096 100,097 200,194 400,388 800,776 1,601,552 3,203,104

Collatz Trajectory (164 steps to reach 1)

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

3,203,104 1,601,552 800,776 400,388 200,194 100,097 300,292 150,146 75,073 225,220 112,610 56,305 168,916 84,458 42,229 126,688 63,344 31,672 15,836 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95

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