357,282

2 × 3² × 23 × 863

357,282 factors as 2 × 3^2 × 23 × 863. Its 24 positive divisors give a proper-divisor sum of 451,422, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 863

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 808,704

Proper Divisor Sum 451,422

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #357281 ← → #357283

Radix Representation

Decimal	357282
Binary	1010111001110100010 (19 bits)
Octal	0o1271642
Hexadecimal	0x573A2

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 863 1,726 2,589 5,178 7,767 15,534 19,849 39,698 59,547 119,094 178,641 357,282

Collatz Trajectory (117 steps to reach 1)

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

357,282 178,641 535,924 267,962 133,981 401,944 200,972 100,486 50,243 150,730 75,365 226,096 113,048 56,524 28,262 14,131 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379

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