λ
Sequence Observatory

211,529

37 × 5717
Deficient Odd Composite

Starting at 211,529, the Collatz iteration reaches 1 after 54 steps. The first transition is 634588; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 5717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 217,284
Proper Divisor Sum 5,755
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #211507 ← → #211543

Radix Representation

Decimal 211529
Binary 110011101001001001 (18 bits)
Octal 0o635111
Hexadecimal 0x33A49

Divisor Catalog (4)

1 37 5,717 211,529

Collatz Trajectory (54 steps to reach 1)

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

211,529 634,588 317,294 158,647 475,942 237,971 713,914 356,957 1,070,872 535,436 267,718 133,859 401,578 200,789 602,368 301,184 150,592 75,296 37,648 18,824 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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