λ
Integer Codex

8,445,205

5 × 311 × 5431
Deficient Odd Composite

For 8,445,205, the 8 positive divisors have a total of 10,168,704. Removing 8,445,205 leaves 1,723,499, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 311 × 5431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,168,704
Proper Divisor Sum 1,723,499
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8445161 ← → #8445251

Radix Representation

Decimal 8445205
Binary 100000001101110100010101 (24 bits)
Octal 0o40156425
Hexadecimal 0x80DD15

Divisor Catalog (8)

1 5 311 1,555 5,431 27,155 1,689,041 8,445,205

Collatz Trajectory (75 steps to reach 1)

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

8,445,205 25,335,616 12,667,808 6,333,904 3,166,952 1,583,476 791,738 395,869 1,187,608 593,804 296,902 148,451 445,354 222,677 668,032 334,016 167,008 83,504 41,752 20,876 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7

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