λ
Sequence Observatory

205,316

22 × 51329
Deficient Even Composite

Starting at 205,316, the Collatz iteration reaches 1 after 54 steps. The first transition is 102658; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 51329
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 359,310
Proper Divisor Sum 153,994
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #205307 ← → #205319

Radix Representation

Decimal 205316
Binary 110010001000000100 (18 bits)
Octal 0o621004
Hexadecimal 0x32204

Divisor Catalog (6)

1 2 4 51,329 102,658 205,316

Collatz Trajectory (54 steps to reach 1)

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

205,316 102,658 51,329 153,988 76,994 38,497 115,492 57,746 28,873 86,620 43,310 21,655 64,966 32,483 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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