λ
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8,470,528

214 × 11 × 47
Abundant Even Composite

8,470,528 factors as 2^14 × 11 × 47. Its 60 positive divisors give a proper-divisor sum of 10,403,264, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^14 × 11 × 47
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 18,873,792
Proper Divisor Sum 10,403,264
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8470507 ← → #8470531

Radix Representation

Decimal 8470528
Binary 100000010100000000000000 (24 bits)
Octal 0o40240000
Hexadecimal 0x814000

Divisor Catalog (60)

1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1,024 1,034 1,408 1,504 2,048 2,068 2,816 3,008 4,096 4,136 5,632 6,016 8,192 8,272 11,264 12,032 16,384 16,544 22,528 24,064 33,088 45,056 48,128 66,176 90,112 96,256 132,352 180,224 192,512 264,704 385,024 529,408 770,048 1,058,816 2,117,632 4,235,264 8,470,528

Collatz Trajectory (137 steps to reach 1)

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

8,470,528 4,235,264 2,117,632 1,058,816 529,408 264,704 132,352 66,176 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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