λ
Integer Codex

6,786,235

5 × 307 × 4421
Deficient Odd Composite

For 6,786,235, the 8 positive divisors have a total of 8,171,856. Removing 6,786,235 leaves 1,385,621, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 307 × 4421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,171,856
Proper Divisor Sum 1,385,621
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6786209 ← → #6786253

Radix Representation

Decimal 6786235
Binary 11001111000110010111011 (23 bits)
Octal 0o31706273
Hexadecimal 0x678CBB

Divisor Catalog (8)

1 5 307 1,535 4,421 22,105 1,357,247 6,786,235

Collatz Trajectory (266 steps to reach 1)

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

6,786,235 20,358,706 10,179,353 30,538,060 15,269,030 7,634,515 22,903,546 11,451,773 34,355,320 17,177,660 8,588,830 4,294,415 12,883,246 6,441,623 19,324,870 9,662,435 28,987,306 14,493,653 43,480,960 21,740,480 10,870,240 5,435,120 2,717,560 1,358,780 679,390 339,695 1,019,086 509,543 1,528,630 764,315 2,292,946 1,146,473 3,439,420 1,719,710 859,855 2,579,566 1,289,783 3,869,350 1,934,675 5,804,026 2,902,013 8,706,040 4,353,020 2,176,510 1,088,255 3,264,766 1,632,383 4,897,150 2,448,575 7,345,726 3,672,863 11,018,590 5,509,295 16,527,886 8,263,943 24,791,830 12,395,915 37,187,746 18,593,873 55,781,620

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