361,233

3³ × 17 × 787

For 361,233, the 16 positive divisors have a total of 567,360. Removing 361,233 leaves 206,127, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 17 × 787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 567,360

Proper Divisor Sum 206,127

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #361223 ← → #361237

Radix Representation

Decimal	361233
Binary	1011000001100010001 (19 bits)
Octal	0o1301421
Hexadecimal	0x58311

Divisor Catalog (16)

1 3 9 17 27 51 153 459 787 2,361 7,083 13,379 21,249 40,137 120,411 361,233

Collatz Trajectory (210 steps to reach 1)

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

361,233 1,083,700 541,850 270,925 812,776 406,388 203,194 101,597 304,792 152,396 76,198 38,099 114,298 57,149 171,448 85,724 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756

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