λ
Prime Ledger

6,143,775

3 × 52 × 112 × 677
Deficient Odd Composite

6,143,775 has the prime decomposition 3 × 5^2 × 11^2 × 677. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 11^2 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,181,576
Proper Divisor Sum 5,037,801
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6143741 ← → #6143779

Radix Representation

Decimal 6143775
Binary 10111011011111100011111 (23 bits)
Octal 0o27337437
Hexadecimal 0x5DBF1F

Divisor Catalog (36)

1 3 5 11 15 25 33 55 75 121 165 275 363 605 677 825 1,815 2,031 3,025 3,385 7,447 9,075 10,155 16,925 22,341 37,235 50,775 81,917 111,705 186,175 245,751 409,585 558,525 1,228,755 2,047,925 6,143,775

Collatz Trajectory (289 steps to reach 1)

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

6,143,775 18,431,326 9,215,663 27,646,990 13,823,495 41,470,486 20,735,243 62,205,730 31,102,865 93,308,596 46,654,298 23,327,149 69,981,448 34,990,724 17,495,362 8,747,681 26,243,044 13,121,522 6,560,761 19,682,284 9,841,142 4,920,571 14,761,714 7,380,857 22,142,572 11,071,286 5,535,643 16,606,930 8,303,465 24,910,396 12,455,198 6,227,599 18,682,798 9,341,399 28,024,198 14,012,099 42,036,298 21,018,149 63,054,448 31,527,224 15,763,612 7,881,806 3,940,903 11,822,710 5,911,355 17,734,066 8,867,033 26,601,100 13,300,550 6,650,275 19,950,826 9,975,413 29,926,240 14,963,120 7,481,560 3,740,780 1,870,390 935,195 2,805,586 1,402,793

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