λ
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8,081,997

3 × 7 × 11 × 59 × 593
Deficient Odd Composite

8,081,997 factors as 3 × 7 × 11 × 59 × 593. Its 32 positive divisors give a proper-divisor sum of 5,603,763, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 59 × 593
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,685,760
Proper Divisor Sum 5,603,763
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8081971 ← → #8082013

Radix Representation

Decimal 8081997
Binary 11110110101001001001101 (23 bits)
Octal 0o36651115
Hexadecimal 0x7B524D

Divisor Catalog (32)

1 3 7 11 21 33 59 77 177 231 413 593 649 1,239 1,779 1,947 4,151 4,543 6,523 12,453 13,629 19,569 34,987 45,661 104,961 136,983 244,909 384,857 734,727 1,154,571 2,693,999 8,081,997

Collatz Trajectory (186 steps to reach 1)

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

8,081,997 24,245,992 12,122,996 6,061,498 3,030,749 9,092,248 4,546,124 2,273,062 1,136,531 3,409,594 1,704,797 5,114,392 2,557,196 1,278,598 639,299 1,917,898 958,949 2,876,848 1,438,424 719,212 359,606 179,803 539,410 269,705 809,116 404,558 202,279 606,838 303,419 910,258 455,129 1,365,388 682,694 341,347 1,024,042 512,021 1,536,064 768,032 384,016 192,008 96,004 48,002 24,001 72,004 36,002 18,001 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545

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