1,565,304

2³ × 3 × 13 × 29 × 173

1,565,304 has the prime decomposition 2^3 × 3 × 13 × 29 × 173. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 29 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 4,384,800

Proper Divisor Sum 2,819,496

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1565293 ← → #1565323

Radix Representation

Decimal	1565304
Binary	101111110001001111000 (21 bits)
Octal	0o5761170
Hexadecimal	0x17E278

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 173 174 232 312 346 348 377 519 692 696 754 1,038 1,131 1,384 1,508 2,076 2,249 2,262 3,016 4,152 4,498 4,524 5,017 6,747 8,996 9,048 10,034 13,494 15,051 17,992 20,068 26,988 30,102 40,136 53,976 60,204 65,221 120,408 130,442 195,663 260,884

Collatz Trajectory (163 steps to reach 1)

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

1,565,304 782,652 391,326 195,663 586,990 293,495 880,486 440,243 1,320,730 660,365 1,981,096 990,548 495,274 247,637 742,912 371,456 185,728 92,864 46,432 23,216 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47

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