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779,205

3 × 5 × 7 × 41 × 181
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,467,648
Proper Divisor Sum 688,443
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #779189 ← → #779221

Radix Representation

Decimal 779205
Binary 10111110001111000101 (20 bits)
Octal 0o2761705
Hexadecimal 0xBE3C5

Divisor Catalog (32)

1 3 5 7 15 21 35 41 105 123 181 205 287 543 615 861 905 1,267 1,435 2,715 3,801 4,305 6,335 7,421 19,005 22,263 37,105 51,947 111,315 155,841 259,735 779,205

Collatz Trajectory (162 steps to reach 1)

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

779,205 2,337,616 1,168,808 584,404 292,202 146,101 438,304 219,152 109,576 54,788 27,394 13,697 41,092 20,546 10,273 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

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