λ
Match Zalai

208,681

11 × 61 × 311
Deficient Odd Composite

208,681 factors as 11 × 61 × 311. Its 8 positive divisors give a proper-divisor sum of 23,447, so this integer is deficient. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 11 × 61 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 232,128
Proper Divisor Sum 23,447
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #208673 ← → #208687

Radix Representation

Decimal 208681
Binary 110010111100101001 (18 bits)
Octal 0o627451
Hexadecimal 0x32F29

Divisor Catalog (8)

1 11 61 311 671 3,421 18,971 208,681

Collatz Trajectory (54 steps to reach 1)

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

208,681 626,044 313,022 156,511 469,534 234,767 704,302 352,151 1,056,454 528,227 1,584,682 792,341 2,377,024 1,188,512 594,256 297,128 148,564 74,282 37,141 111,424 55,712 27,856 13,928 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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