λ
Prime Ledger

1,765,361

13 × 229 × 593
Deficient Odd Composite

1,765,361 has the prime decomposition 13 × 229 × 593. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 229 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,912,680
Proper Divisor Sum 147,319
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1765349 ← → #1765363

Radix Representation

Decimal 1765361
Binary 110101110111111110001 (21 bits)
Octal 0o6567761
Hexadecimal 0x1AEFF1

Divisor Catalog (8)

1 13 229 593 2,977 7,709 135,797 1,765,361

Collatz Trajectory (189 steps to reach 1)

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

1,765,361 5,296,084 2,648,042 1,324,021 3,972,064 1,986,032 993,016 496,508 248,254 124,127 372,382 186,191 558,574 279,287 837,862 418,931 1,256,794 628,397 1,885,192 942,596 471,298 235,649 706,948 353,474 176,737 530,212 265,106 132,553 397,660 198,830 99,415 298,246 149,123 447,370 223,685 671,056 335,528 167,764 83,882 41,941 125,824 62,912 31,456 15,728 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870

More profiles

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