8,427,120

2⁴ × 3 × 5 × 13 × 37 × 73

8,427,120 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 13 × 37 × 73 and its 160 divisors sum to 29,289,792.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 37 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 29,289,792

Proper Divisor Sum 20,862,672

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8427113 ← → #8427161

Radix Representation

Decimal	8427120
Binary	100000001001011001110000 (24 bits)
Octal	0o40113160
Hexadecimal	0x809670

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 73 74 78 80 104 111 120 130 146 148 156 185 195 208 219 222 240 260 292 296 312 365 370 390 438 444 481 520 555 584 592 624 730 740 780 876 888

Collatz Trajectory (155 steps to reach 1)

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

8,427,120 4,213,560 2,106,780 1,053,390 526,695 1,580,086 790,043 2,370,130 1,185,065 3,555,196 1,777,598 888,799 2,666,398 1,333,199 3,999,598 1,999,799 5,999,398 2,999,699 8,999,098 4,499,549 13,498,648 6,749,324 3,374,662 1,687,331 5,061,994 2,530,997 7,592,992 3,796,496 1,898,248 949,124 474,562 237,281 711,844 355,922 177,961 533,884 266,942 133,471 400,414 200,207 600,622 300,311 900,934 450,467 1,351,402 675,701 2,027,104 1,013,552 506,776 253,388 126,694 63,347 190,042 95,021 285,064 142,532 71,266 35,633 106,900 53,450

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