493,476

2² × 3 × 17 × 41 × 59

493,476 has the prime decomposition 2^2 × 3 × 17 × 41 × 59. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 41 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 776,604

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #493463 ← → #493481

Radix Representation

Decimal	493476
Binary	1111000011110100100 (19 bits)
Octal	0o1703644
Hexadecimal	0x787A4

Divisor Catalog (48)

1 2 3 4 6 12 17 34 41 51 59 68 82 102 118 123 164 177 204 236 246 354 492 697 708 1,003 1,394 2,006 2,091 2,419 2,788 3,009 4,012 4,182 4,838 6,018 7,257 8,364 9,676 12,036 14,514 29,028 41,123 82,246 123,369 164,492 246,738 493,476

Collatz Trajectory (151 steps to reach 1)

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

493,476 246,738 123,369 370,108 185,054 92,527 277,582 138,791 416,374 208,187 624,562 312,281 936,844 468,422 234,211 702,634 351,317 1,053,952 526,976 263,488 131,744 65,872 32,936 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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