λ
Integer Codex

8,263,605

3 × 5 × 72 × 11243
Deficient Odd Composite

For 8,263,605, the 24 positive divisors have a total of 15,381,792. Removing 8,263,605 leaves 7,118,187, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11243
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,381,792
Proper Divisor Sum 7,118,187
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8263597 ← → #8263621

Radix Representation

Decimal 8263605
Binary 11111100001011110110101 (23 bits)
Octal 0o37413665
Hexadecimal 0x7E17B5

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 11,243 33,729 56,215 78,701 168,645 236,103 393,505 550,907 1,180,515 1,652,721 2,754,535 8,263,605

Collatz Trajectory (106 steps to reach 1)

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

8,263,605 24,790,816 12,395,408 6,197,704 3,098,852 1,549,426 774,713 2,324,140 1,162,070 581,035 1,743,106 871,553 2,614,660 1,307,330 653,665 1,960,996 980,498 490,249 1,470,748 735,374 367,687 1,103,062 551,531 1,654,594 827,297 2,481,892 1,240,946 620,473 1,861,420 930,710 465,355 1,396,066 698,033 2,094,100 1,047,050 523,525 1,570,576 785,288 392,644 196,322 98,161 294,484 147,242 73,621 220,864 110,432 55,216 27,608 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738

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