268,860

2² × 3 × 5 × 4481

268,860 factors as 2^2 × 3 × 5 × 4481. Its 24 positive divisors give a proper-divisor sum of 484,116, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 4481

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 752,976

Proper Divisor Sum 484,116

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #268843 ← → #268861

Radix Representation

Decimal	268860
Binary	1000001101000111100 (19 bits)
Octal	0o1015074
Hexadecimal	0x41A3C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 4,481 8,962 13,443 17,924 22,405 26,886 44,810 53,772 67,215 89,620 134,430 268,860

Collatz Trajectory (163 steps to reach 1)

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

268,860 134,430 67,215 201,646 100,823 302,470 151,235 453,706 226,853 680,560 340,280 170,140 85,070 42,535 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752 40,376 20,188 10,094 5,047 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286

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