262,542

2 × 3 × 7² × 19 × 47

262,542 factors as 2 × 3 × 7^2 × 19 × 47. Its 48 positive divisors give a proper-divisor sum of 394,098, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 656,640

Proper Divisor Sum 394,098

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #262541 ← → #262543

Radix Representation

Decimal	262542
Binary	1000000000110001110 (19 bits)
Octal	0o1000616
Hexadecimal	0x4018E

Divisor Catalog (48)

1 2 3 6 7 14 19 21 38 42 47 49 57 94 98 114 133 141 147 266 282 294 329 399 658 798 893 931 987 1,786 1,862 1,974 2,303 2,679 2,793 4,606 5,358 5,586 6,251 6,909 12,502 13,818 18,753 37,506 43,757 87,514 131,271 262,542

Collatz Trajectory (88 steps to reach 1)

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

262,542 131,271 393,814 196,907 590,722 295,361 886,084 443,042 221,521 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366 140,183 420,550 210,275 630,826 315,413 946,240 473,120 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666

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