λ
Integer Codex

8,081,473

67 × 120619
Deficient Odd Composite

For 8,081,473, the 4 positive divisors have a total of 8,202,160. Removing 8,081,473 leaves 120,687, which gives the deficient classification.

Prime Factor Structure

Factorization String 67 × 120619
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,202,160
Proper Divisor Sum 120,687
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8081471 ← → #8081497

Radix Representation

Decimal 8081473
Binary 11110110101000001000001 (23 bits)
Octal 0o36650101
Hexadecimal 0x7B5041

Divisor Catalog (4)

1 67 120,619 8,081,473

Collatz Trajectory (137 steps to reach 1)

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

8,081,473 24,244,420 12,122,210 6,061,105 18,183,316 9,091,658 4,545,829 13,637,488 6,818,744 3,409,372 1,704,686 852,343 2,557,030 1,278,515 3,835,546 1,917,773 5,753,320 2,876,660 1,438,330 719,165 2,157,496 1,078,748 539,374 269,687 809,062 404,531 1,213,594 606,797 1,820,392 910,196 455,098 227,549 682,648 341,324 170,662 85,331 255,994 127,997 383,992 191,996 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031 615,094 307,547

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