233,221

233221

233,221 has digital root 4. The neighboring primes are 233201 and 233231; its proper-divisor sum differs from the starting integer by -233,220.

Prime Factor Structure

Factorization String 233221

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 233,222

Proper Divisor Sum 1

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #233201 ← → #233231

Radix Representation

Decimal	233221
Binary	111000111100000101 (18 bits)
Octal	0o707405
Hexadecimal	0x38F05

Divisor Catalog (2)

1 233,221

Collatz Trajectory (124 steps to reach 1)

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

233,221 699,664 349,832 174,916 87,458 43,729 131,188 65,594 32,797 98,392 49,196 24,598 12,299 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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