284,258

2 × 13² × 29²

284,258 factors as 2 × 13^2 × 29^2. Its 18 positive divisors give a proper-divisor sum of 193,921, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 29^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 478,179

Proper Divisor Sum 193,921

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #284243 ← → #284261

Radix Representation

Decimal	284258
Binary	1000101011001100010 (19 bits)
Octal	0o1053142
Hexadecimal	0x45662

Divisor Catalog (18)

1 2 13 26 29 58 169 338 377 754 841 1,682 4,901 9,802 10,933 21,866 142,129 284,258

Collatz Trajectory (83 steps to reach 1)

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

284,258 142,129 426,388 213,194 106,597 319,792 159,896 79,948 39,974 19,987 59,962 29,981 89,944 44,972 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304

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