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Modular Archive

201,321

32 × 22369
Deficient Odd Composite

The decimal integer 201,321 is 110001001001101001 in binary (18 bits), 611151 in octal and 31269 in hexadecimal. Its digit sum is 9.

Prime Factor Structure

Factorization String 3^2 × 22369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 290,810
Proper Divisor Sum 89,489
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #201307 ← → #201329

Radix Representation

Decimal 201321
Binary 110001001001101001 (18 bits)
Octal 0o611151
Hexadecimal 0x31269

Divisor Catalog (6)

1 3 9 22,369 67,107 201,321

Collatz Trajectory (116 steps to reach 1)

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

201,321 603,964 301,982 150,991 452,974 226,487 679,462 339,731 1,019,194 509,597 1,528,792 764,396 382,198 191,099 573,298 286,649 859,948 429,974 214,987 644,962 322,481 967,444 483,722 241,861 725,584 362,792 181,396 90,698 45,349 136,048 68,024 34,012 17,006 8,503 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666

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