λ
Prime Ledger

8,411,104

25 × 13 × 20219
Abundant Even Composite

8,411,104 has the prime decomposition 2^5 × 13 × 20219. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 20219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,834,040
Proper Divisor Sum 9,422,936
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #8411089 ← → #8411111

Radix Representation

Decimal 8411104
Binary 100000000101011111100000 (24 bits)
Octal 0o40053740
Hexadecimal 0x8057E0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 20,219 40,438 80,876 161,752 262,847 323,504 525,694 647,008 1,051,388 2,102,776 4,205,552 8,411,104

Collatz Trajectory (155 steps to reach 1)

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

8,411,104 4,205,552 2,102,776 1,051,388 525,694 262,847 788,542 394,271 1,182,814 591,407 1,774,222 887,111 2,661,334 1,330,667 3,992,002 1,996,001 5,988,004 2,994,002 1,497,001 4,491,004 2,245,502 1,122,751 3,368,254 1,684,127 5,052,382 2,526,191 7,578,574 3,789,287 11,367,862 5,683,931 17,051,794 8,525,897 25,577,692 12,788,846 6,394,423 19,183,270 9,591,635 28,774,906 14,387,453 43,162,360 21,581,180 10,790,590 5,395,295 16,185,886 8,092,943 24,278,830 12,139,415 36,418,246 18,209,123 54,627,370 27,313,685 81,941,056 40,970,528 20,485,264 10,242,632 5,121,316 2,560,658 1,280,329 3,840,988 1,920,494

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