λ
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8,292,018

2 × 3 × 7 × 19 × 10391
Abundant Even Composite

8,292,018 factors as 2 × 3 × 7 × 19 × 10391. Its 32 positive divisors give a proper-divisor sum of 11,660,622, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19 × 10391
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,952,640
Proper Divisor Sum 11,660,622
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8292017 ← → #8292023

Radix Representation

Decimal 8292018
Binary 11111101000011010110010 (23 bits)
Octal 0o37503262
Hexadecimal 0x7E86B2

Divisor Catalog (32)

1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 10,391 20,782 31,173 62,346 72,737 145,474 197,429 218,211 394,858 436,422 592,287 1,184,574 1,382,003 2,764,006 4,146,009 8,292,018

Collatz Trajectory (168 steps to reach 1)

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

8,292,018 4,146,009 12,438,028 6,219,014 3,109,507 9,328,522 4,664,261 13,992,784 6,996,392 3,498,196 1,749,098 874,549 2,623,648 1,311,824 655,912 327,956 163,978 81,989 245,968 122,984 61,492 30,746 15,373 46,120 23,060 11,530 5,765 17,296 8,648 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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