λ
Prime Ledger

6,765,185

5 × 72 × 53 × 521
Deficient Odd Composite

6,765,185 has the prime decomposition 5 × 7^2 × 53 × 521. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 53 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,640,296
Proper Divisor Sum 2,875,111
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6765181 ← → #6765211

Radix Representation

Decimal 6765185
Binary 11001110011101010000001 (23 bits)
Octal 0o31635201
Hexadecimal 0x673A81

Divisor Catalog (24)

1 5 7 35 49 53 245 265 371 521 1,855 2,597 2,605 3,647 12,985 18,235 25,529 27,613 127,645 138,065 193,291 966,455 1,353,037 6,765,185

Collatz Trajectory (116 steps to reach 1)

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

6,765,185 20,295,556 10,147,778 5,073,889 15,221,668 7,610,834 3,805,417 11,416,252 5,708,126 2,854,063 8,562,190 4,281,095 12,843,286 6,421,643 19,264,930 9,632,465 28,897,396 14,448,698 7,224,349 21,673,048 10,836,524 5,418,262 2,709,131 8,127,394 4,063,697 12,191,092 6,095,546 3,047,773 9,143,320 4,571,660 2,285,830 1,142,915 3,428,746 1,714,373 5,143,120 2,571,560 1,285,780 642,890 321,445 964,336 482,168 241,084 120,542 60,271 180,814 90,407 271,222 135,611 406,834 203,417 610,252 305,126 152,563 457,690 228,845 686,536 343,268 171,634 85,817 257,452

More profiles

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