λ
Integer Codex

209,425

52 × 8377
Deficient Odd Composite

For 209,425, the 6 positive divisors have a total of 259,718. Removing 209,425 leaves 50,293, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 8377
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 259,718
Proper Divisor Sum 50,293
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #209401 ← → #209431

Radix Representation

Decimal 209425
Binary 110011001000010001 (18 bits)
Octal 0o631021
Hexadecimal 0x33211

Divisor Catalog (6)

1 5 25 8,377 41,885 209,425

Collatz Trajectory (142 steps to reach 1)

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

209,425 628,276 314,138 157,069 471,208 235,604 117,802 58,901 176,704 88,352 44,176 22,088 11,044 5,522 2,761 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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