λ
Prime Ledger

867,382

2 × 67 × 6473
Deficient Even Composite

867,382 has the prime decomposition 2 × 67 × 6473. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 67 × 6473
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,320,696
Proper Divisor Sum 453,314
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #867371 ← → #867389

Radix Representation

Decimal 867382
Binary 11010011110000110110 (20 bits)
Octal 0o3236066
Hexadecimal 0xD3C36

Divisor Catalog (8)

1 2 67 134 6,473 12,946 433,691 867,382

Collatz Trajectory (338 steps to reach 1)

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

867,382 433,691 1,301,074 650,537 1,951,612 975,806 487,903 1,463,710 731,855 2,195,566 1,097,783 3,293,350 1,646,675 4,940,026 2,470,013 7,410,040 3,705,020 1,852,510 926,255 2,778,766 1,389,383 4,168,150 2,084,075 6,252,226 3,126,113 9,378,340 4,689,170 2,344,585 7,033,756 3,516,878 1,758,439 5,275,318 2,637,659 7,912,978 3,956,489 11,869,468 5,934,734 2,967,367 8,902,102 4,451,051 13,353,154 6,676,577 20,029,732 10,014,866 5,007,433 15,022,300 7,511,150 3,755,575 11,266,726 5,633,363 16,900,090 8,450,045 25,350,136 12,675,068 6,337,534 3,168,767 9,506,302 4,753,151 14,259,454 7,129,727

More profiles

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