λ
Integer Codex

8,011,775

52 × 320471
Deficient Odd Composite

For 8,011,775, the 6 positive divisors have a total of 9,934,632. Removing 8,011,775 leaves 1,922,857, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 320471
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,934,632
Proper Divisor Sum 1,922,857
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8011763 ← → #8011781

Radix Representation

Decimal 8011775
Binary 11110100011111111111111 (23 bits)
Octal 0o36437777
Hexadecimal 0x7A3FFF

Divisor Catalog (6)

1 5 25 320,471 1,602,355 8,011,775

Collatz Trajectory (292 steps to reach 1)

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

8,011,775 24,035,326 12,017,663 36,052,990 18,026,495 54,079,486 27,039,743 81,119,230 40,559,615 121,678,846 60,839,423 182,518,270 91,259,135 273,777,406 136,888,703 410,666,110 205,333,055 615,999,166 307,999,583 923,998,750 461,999,375 1,385,998,126 692,999,063 2,078,997,190 1,039,498,595 3,118,495,786 1,559,247,893 4,677,743,680 2,338,871,840 1,169,435,920 584,717,960 292,358,980 146,179,490 73,089,745 219,269,236 109,634,618 54,817,309 164,451,928 82,225,964 41,112,982 20,556,491 61,669,474 30,834,737 92,504,212 46,252,106 23,126,053 69,378,160 34,689,080 17,344,540 8,672,270 4,336,135 13,008,406 6,504,203 19,512,610 9,756,305 29,268,916 14,634,458 7,317,229 21,951,688 10,975,844

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