λ
Prime Ledger

9,674,390

2 × 5 × 11 × 37 × 2377
Abundant Even Composite

9,674,390 has the prime decomposition 2 × 5 × 11 × 37 × 2377. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 37 × 2377
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,518,624
Proper Divisor Sum 9,844,234
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9674383 ← → #9674437

Radix Representation

Decimal 9674390
Binary 100100111001111010010110 (24 bits)
Octal 0o44717226
Hexadecimal 0x939E96

Divisor Catalog (32)

1 2 5 10 11 22 37 55 74 110 185 370 407 814 2,035 2,377 4,070 4,754 11,885 23,770 26,147 52,294 87,949 130,735 175,898 261,470 439,745 879,490 967,439 1,934,878 4,837,195 9,674,390

Collatz Trajectory (194 steps to reach 1)

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

9,674,390 4,837,195 14,511,586 7,255,793 21,767,380 10,883,690 5,441,845 16,325,536 8,162,768 4,081,384 2,040,692 1,020,346 510,173 1,530,520 765,260 382,630 191,315 573,946 286,973 860,920 430,460 215,230 107,615 322,846 161,423 484,270 242,135 726,406 363,203 1,089,610 544,805 1,634,416 817,208 408,604 204,302 102,151 306,454 153,227 459,682 229,841 689,524 344,762 172,381 517,144 258,572 129,286 64,643 193,930 96,965 290,896 145,448 72,724 36,362 18,181 54,544 27,272 13,636 6,818 3,409 10,228

More profiles

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