λ
Modular Archive

223,209

33 × 7 × 1181
Deficient Odd Composite

The decimal integer 223,209 is 110110011111101001 in binary (18 bits), 663751 in octal and 367E9 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 3^3 × 7 × 1181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 378,240
Proper Divisor Sum 155,031
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #223207 ← → #223211

Radix Representation

Decimal 223209
Binary 110110011111101001 (18 bits)
Octal 0o663751
Hexadecimal 0x367E9

Divisor Catalog (16)

1 3 7 9 21 27 63 189 1,181 3,543 8,267 10,629 24,801 31,887 74,403 223,209

Collatz Trajectory (261 steps to reach 1)

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

223,209 669,628 334,814 167,407 502,222 251,111 753,334 376,667 1,130,002 565,001 1,695,004 847,502 423,751 1,271,254 635,627 1,906,882 953,441 2,860,324 1,430,162 715,081 2,145,244 1,072,622 536,311 1,608,934 804,467 2,413,402 1,206,701 3,620,104 1,810,052 905,026 452,513 1,357,540 678,770 339,385 1,018,156 509,078 254,539 763,618 381,809 1,145,428 572,714 286,357 859,072 429,536 214,768 107,384 53,692 26,846 13,423 40,270 20,135 60,406 30,203 90,610 45,305 135,916 67,958 33,979 101,938 50,969

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