λ
Prime Ledger

8,990,832

24 × 3 × 79 × 2371
Abundant Even Composite

8,990,832 has the prime decomposition 2^4 × 3 × 79 × 2371. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 79 × 2371
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,530,240
Proper Divisor Sum 14,539,408
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8990831 ← → #8990843

Radix Representation

Decimal 8990832
Binary 100010010011000001110000 (24 bits)
Octal 0o42230160
Hexadecimal 0x893070

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1,264 1,896 2,371 3,792 4,742 7,113 9,484 14,226 18,968 28,452 37,936 56,904 113,808 187,309 374,618 561,927 749,236 1,123,854 1,498,472 2,247,708 2,996,944 4,495,416 8,990,832

Collatz Trajectory (181 steps to reach 1)

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

8,990,832 4,495,416 2,247,708 1,123,854 561,927 1,685,782 842,891 2,528,674 1,264,337 3,793,012 1,896,506 948,253 2,844,760 1,422,380 711,190 355,595 1,066,786 533,393 1,600,180 800,090 400,045 1,200,136 600,068 300,034 150,017 450,052 225,026 112,513 337,540 168,770 84,385 253,156 126,578 63,289 189,868 94,934 47,467 142,402 71,201 213,604 106,802 53,401 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505

More profiles

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