493,122

2 × 3 × 7 × 59 × 199

493,122 has the prime decomposition 2 × 3 × 7 × 59 × 199. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 59 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,152,000

Proper Divisor Sum 658,878

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #493121 ← → #493123

Radix Representation

Decimal	493122
Binary	1111000011001000010 (19 bits)
Octal	0o1703102
Hexadecimal	0x78642

Divisor Catalog (32)

1 2 3 6 7 14 21 42 59 118 177 199 354 398 413 597 826 1,194 1,239 1,393 2,478 2,786 4,179 8,358 11,741 23,482 35,223 70,446 82,187 164,374 246,561 493,122

Collatz Trajectory (138 steps to reach 1)

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

493,122 246,561 739,684 369,842 184,921 554,764 277,382 138,691 416,074 208,037 624,112 312,056 156,028 78,014 39,007 117,022 58,511 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526

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