289,094

2 × 13 × 11119

289,094 factors as 2 × 13 × 11119. Its 8 positive divisors give a proper-divisor sum of 177,946, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 13 × 11119

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 467,040

Proper Divisor Sum 177,946

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #289067 ← → #289099

Radix Representation

Decimal	289094
Binary	1000110100101000110 (19 bits)
Octal	0o1064506
Hexadecimal	0x46946

Divisor Catalog (8)

1 2 13 26 11,119 22,238 144,547 289,094

Collatz Trajectory (251 steps to reach 1)

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

289,094 144,547 433,642 216,821 650,464 325,232 162,616 81,308 40,654 20,327 60,982 30,491 91,474 45,737 137,212 68,606 34,303 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990 260,495 781,486 390,743 1,172,230 586,115 1,758,346 879,173 2,637,520 1,318,760 659,380 329,690 164,845 494,536 247,268 123,634 61,817 185,452 92,726 46,363 139,090 69,545 208,636 104,318 52,159 156,478 78,239 234,718 117,359 352,078 176,039 528,118 264,059 792,178 396,089

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