8,395,152

2⁴ × 3 × 29 × 37 × 163

8,395,152 factors as 2^4 × 3 × 29 × 37 × 163. Its 80 positive divisors give a proper-divisor sum of 14,787,888, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 29 × 37 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 23,183,040

Proper Divisor Sum 14,787,888

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8395151 ← → #8395193

Radix Representation

Decimal	8395152
Binary	100000000001100110010000 (24 bits)
Octal	0o40014620
Hexadecimal	0x801990

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 163 174 222 232 296 326 348 444 464 489 592 652 696 888 978 1,073 1,304 1,392 1,776 1,956 2,146 2,608 3,219 3,912 4,292 4,727 6,031 6,438 7,824 8,584 9,454 12,062 12,876 14,181 17,168 18,093 18,908 24,124 25,752 28,362 36,186 37,816

Collatz Trajectory (106 steps to reach 1)

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

8,395,152 4,197,576 2,098,788 1,049,394 524,697 1,574,092 787,046 393,523 1,180,570 590,285 1,770,856 885,428 442,714 221,357 664,072 332,036 166,018 83,009 249,028 124,514 62,257 186,772 93,386 46,693 140,080 70,040 35,020 17,510 8,755 26,266 13,133 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247

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