λ
Integer Codex

8,262,776

23 × 1032847
Deficient Even Composite

For 8,262,776, the 8 positive divisors have a total of 15,492,720. Removing 8,262,776 leaves 7,229,944, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 1032847
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,492,720
Proper Divisor Sum 7,229,944
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8262769 ← → #8262809

Radix Representation

Decimal 8262776
Binary 11111100001010001111000 (23 bits)
Octal 0o37412170
Hexadecimal 0x7E1478

Divisor Catalog (8)

1 2 4 8 1,032,847 2,065,694 4,131,388 8,262,776

Collatz Trajectory (111 steps to reach 1)

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

8,262,776 4,131,388 2,065,694 1,032,847 3,098,542 1,549,271 4,647,814 2,323,907 6,971,722 3,485,861 10,457,584 5,228,792 2,614,396 1,307,198 653,599 1,960,798 980,399 2,941,198 1,470,599 4,411,798 2,205,899 6,617,698 3,308,849 9,926,548 4,963,274 2,481,637 7,444,912 3,722,456 1,861,228 930,614 465,307 1,395,922 697,961 2,093,884 1,046,942 523,471 1,570,414 785,207 2,355,622 1,177,811 3,533,434 1,766,717 5,300,152 2,650,076 1,325,038 662,519 1,987,558 993,779 2,981,338 1,490,669 4,472,008 2,236,004 1,118,002 559,001 1,677,004 838,502 419,251 1,257,754 628,877 1,886,632

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