λ
Integer Codex

8,449,161

3 × 7 × 402341
Deficient Odd Composite

For 8,449,161, the 8 positive divisors have a total of 12,874,944. Removing 8,449,161 leaves 4,425,783, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 402341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,874,944
Proper Divisor Sum 4,425,783
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8449159 ← → #8449223

Radix Representation

Decimal 8449161
Binary 100000001110110010001001 (24 bits)
Octal 0o40166211
Hexadecimal 0x80EC89

Divisor Catalog (8)

1 3 7 21 402,341 1,207,023 2,816,387 8,449,161

Collatz Trajectory (199 steps to reach 1)

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

8,449,161 25,347,484 12,673,742 6,336,871 19,010,614 9,505,307 28,515,922 14,257,961 42,773,884 21,386,942 10,693,471 32,080,414 16,040,207 48,120,622 24,060,311 72,180,934 36,090,467 108,271,402 54,135,701 162,407,104 81,203,552 40,601,776 20,300,888 10,150,444 5,075,222 2,537,611 7,612,834 3,806,417 11,419,252 5,709,626 2,854,813 8,564,440 4,282,220 2,141,110 1,070,555 3,211,666 1,605,833 4,817,500 2,408,750 1,204,375 3,613,126 1,806,563 5,419,690 2,709,845 8,129,536 4,064,768 2,032,384 1,016,192 508,096 254,048 127,024 63,512 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932

More profiles

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