λ
Integer Codex

225,843

3 × 83 × 907
Deficient Odd Composite

For 225,843, the 8 positive divisors have a total of 305,088. Removing 225,843 leaves 79,245, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 83 × 907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 305,088
Proper Divisor Sum 79,245
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #225839 ← → #225859

Radix Representation

Decimal 225843
Binary 110111001000110011 (18 bits)
Octal 0o671063
Hexadecimal 0x37233

Divisor Catalog (8)

1 3 83 249 907 2,721 75,281 225,843

Collatz Trajectory (155 steps to reach 1)

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

225,843 677,530 338,765 1,016,296 508,148 254,074 127,037 381,112 190,556 95,278 47,639 142,918 71,459 214,378 107,189 321,568 160,784 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

More profiles

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