λ
Integer Codex

268,609

11 × 24419
Deficient Odd Composite

For 268,609, the 4 positive divisors have a total of 293,040. Removing 268,609 leaves 24,431, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 24419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 293,040
Proper Divisor Sum 24,431
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #268607 ← → #268613

Radix Representation

Decimal 268609
Binary 1000001100101000001 (19 bits)
Octal 0o1014501
Hexadecimal 0x41941

Divisor Catalog (4)

1 11 24,419 268,609

Collatz Trajectory (132 steps to reach 1)

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

268,609 805,828 402,914 201,457 604,372 302,186 151,093 453,280 226,640 113,320 56,660 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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