λ
Prime Ledger

762,161

17 × 107 × 419
Deficient Odd Composite

762,161 has the prime decomposition 17 × 107 × 419. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 107 × 419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 816,480
Proper Divisor Sum 54,319
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #762121 ← → #762187

Radix Representation

Decimal 762161
Binary 10111010000100110001 (20 bits)
Octal 0o2720461
Hexadecimal 0xBA131

Divisor Catalog (8)

1 17 107 419 1,819 7,123 44,833 762,161

Collatz Trajectory (105 steps to reach 1)

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

762,161 2,286,484 1,143,242 571,621 1,714,864 857,432 428,716 214,358 107,179 321,538 160,769 482,308 241,154 120,577 361,732 180,866 90,433 271,300 135,650 67,825 203,476 101,738 50,869 152,608 76,304 38,152 19,076 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809

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