λ
Ratio Atlas

8,422,678

2 × 11 × 173 × 2213
Deficient Even Composite

8,422,678 factors as 2 × 11 × 173 × 2213. Its 16 positive divisors give a proper-divisor sum of 5,445,818, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 11 × 173 × 2213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,868,496
Proper Divisor Sum 5,445,818
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8422649 ← → #8422691

Radix Representation

Decimal 8422678
Binary 100000001000010100010110 (24 bits)
Octal 0o40102426
Hexadecimal 0x808516

Divisor Catalog (16)

1 2 11 22 173 346 1,903 2,213 3,806 4,426 24,343 48,686 382,849 765,698 4,211,339 8,422,678

Collatz Trajectory (199 steps to reach 1)

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

8,422,678 4,211,339 12,634,018 6,317,009 18,951,028 9,475,514 4,737,757 14,213,272 7,106,636 3,553,318 1,776,659 5,329,978 2,664,989 7,994,968 3,997,484 1,998,742 999,371 2,998,114 1,499,057 4,497,172 2,248,586 1,124,293 3,372,880 1,686,440 843,220 421,610 210,805 632,416 316,208 158,104 79,052 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909

More profiles

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