288,526

2 × 7 × 37 × 557

288,526 has the prime decomposition 2 × 7 × 37 × 557. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 508,896

Proper Divisor Sum 220,370

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #288499 ← → #288527

Radix Representation

Decimal	288526
Binary	1000110011100001110 (19 bits)
Octal	0o1063416
Hexadecimal	0x4670E

Divisor Catalog (16)

1 2 7 14 37 74 259 518 557 1,114 3,899 7,798 20,609 41,218 144,263 288,526

Collatz Trajectory (127 steps to reach 1)

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

288,526 144,263 432,790 216,395 649,186 324,593 973,780 486,890 243,445 730,336 365,168 182,584 91,292 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831

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