223,362

2 × 3² × 12409

223,362 has digital root 9. The neighboring primes are 223361 and 223367; its proper-divisor sum differs from the starting integer by 37,266.

Prime Factor Structure

Factorization String 2 × 3^2 × 12409

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 483,990

Proper Divisor Sum 260,628

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #223361 ← → #223367

Radix Representation

Decimal	223362
Binary	110110100010000010 (18 bits)
Octal	0o664202
Hexadecimal	0x36882

Divisor Catalog (12)

1 2 3 6 9 18 12,409 24,818 37,227 74,454 111,681 223,362

Collatz Trajectory (111 steps to reach 1)

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

223,362 111,681 335,044 167,522 83,761 251,284 125,642 62,821 188,464 94,232 47,116 23,558 11,779 35,338 17,669 53,008 26,504 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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