249,886

2 × 7 × 13 × 1373

249,886 factors as 2 × 7 × 13 × 1373. Its 16 positive divisors give a proper-divisor sum of 211,778, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 1373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 461,664

Proper Divisor Sum 211,778

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #249881 ← → #249911

Radix Representation

Decimal	249886
Binary	111101000000011110 (18 bits)
Octal	0o750036
Hexadecimal	0x3D01E

Divisor Catalog (16)

1 2 7 13 14 26 91 182 1,373 2,746 9,611 17,849 19,222 35,698 124,943 249,886

Collatz Trajectory (181 steps to reach 1)

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

249,886 124,943 374,830 187,415 562,246 281,123 843,370 421,685 1,265,056 632,528 316,264 158,132 79,066 39,533 118,600 59,300 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265

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