λ
Prime Ledger

1,765,864

23 × 307 × 719
Deficient Even Composite

1,765,864 has the prime decomposition 2^3 × 307 × 719. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 307 × 719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,326,400
Proper Divisor Sum 1,560,536
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1765861 ← → #1765873

Radix Representation

Decimal 1765864
Binary 110101111000111101000 (21 bits)
Octal 0o6570750
Hexadecimal 0x1AF1E8

Divisor Catalog (16)

1 2 4 8 307 614 719 1,228 1,438 2,456 2,876 5,752 220,733 441,466 882,932 1,765,864

Collatz Trajectory (96 steps to reach 1)

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

1,765,864 882,932 441,466 220,733 662,200 331,100 165,550 82,775 248,326 124,163 372,490 186,245 558,736 279,368 139,684 69,842 34,921 104,764 52,382 26,191 78,574 39,287 117,862 58,931 176,794 88,397 265,192 132,596 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204

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