λ
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Atlas › Integer Profiles › Node 8,558,422

8,558,422

2 × 29 × 41 × 59 × 61
Deficient Even Composite

8,558,422 factors as 2 × 29 × 41 × 59 × 61. Its 32 positive divisors give a proper-divisor sum of 5,503,178, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 29 × 41 × 59 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,061,600
Proper Divisor Sum 5,503,178
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8558413 ← → #8558423

Radix Representation

Decimal 8558422
Binary 100000101001011101010110 (24 bits)
Octal 0o40513526
Hexadecimal 0x829756

Divisor Catalog (32)

1 2 29 41 58 59 61 82 118 122 1,189 1,711 1,769 2,378 2,419 2,501 3,422 3,538 3,599 4,838 5,002 7,198 70,151 72,529 104,371 140,302 145,058 147,559 208,742 295,118 4,279,211 8,558,422

Collatz Trajectory (124 steps to reach 1)

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

8,558,422 4,279,211 12,837,634 6,418,817 19,256,452 9,628,226 4,814,113 14,442,340 7,221,170 3,610,585 10,831,756 5,415,878 2,707,939 8,123,818 4,061,909 12,185,728 6,092,864 3,046,432 1,523,216 761,608 380,804 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737 542,212 271,106 135,553 406,660 203,330 101,665 304,996 152,498 76,249 228,748 114,374 57,187 171,562 85,781 257,344 128,672 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508

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