λ
Integer Codex

559,278

2 × 33 × 10357
Abundant Even Composite

For 559,278, the 16 positive divisors have a total of 1,242,960. Removing 559,278 leaves 683,682, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^3 × 10357
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,242,960
Proper Divisor Sum 683,682
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #559277 ← → #559297

Radix Representation

Decimal 559278
Binary 10001000100010101110 (20 bits)
Octal 0o2104256
Hexadecimal 0x888AE

Divisor Catalog (16)

1 2 3 6 9 18 27 54 10,357 20,714 31,071 62,142 93,213 186,426 279,639 559,278

Collatz Trajectory (146 steps to reach 1)

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

559,278 279,639 838,918 419,459 1,258,378 629,189 1,887,568 943,784 471,892 235,946 117,973 353,920 176,960 88,480 44,240 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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