771,005

5 × 41 × 3761

771,005 factors as 5 × 41 × 3761. Its 8 positive divisors give a proper-divisor sum of 177,019, so this integer is deficient. The Collatz stopping time is 343 steps.

Prime Factor Structure

Factorization String 5 × 41 × 3761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 948,024

Proper Divisor Sum 177,019

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #770993 ← → #771011

Radix Representation

Decimal	771005
Binary	10111100001110111101 (20 bits)
Octal	0o2741675
Hexadecimal	0xBC3BD

Divisor Catalog (8)

1 5 41 205 3,761 18,805 154,201 771,005

Collatz Trajectory (343 steps to reach 1)

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

771,005 2,313,016 1,156,508 578,254 289,127 867,382 433,691 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

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