λ
Integer Codex

8,167,013

571 × 14303
Deficient Odd Composite

For 8,167,013, the 4 positive divisors have a total of 8,181,888. Removing 8,167,013 leaves 14,875, which gives the deficient classification.

Prime Factor Structure

Factorization String 571 × 14303
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,181,888
Proper Divisor Sum 14,875
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8167007 ← → #8167039

Radix Representation

Decimal 8167013
Binary 11111001001111001100101 (23 bits)
Octal 0o37117145
Hexadecimal 0x7C9E65

Divisor Catalog (4)

1 571 14,303 8,167,013

Collatz Trajectory (155 steps to reach 1)

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

8,167,013 24,501,040 12,250,520 6,125,260 3,062,630 1,531,315 4,593,946 2,296,973 6,890,920 3,445,460 1,722,730 861,365 2,584,096 1,292,048 646,024 323,012 161,506 80,753 242,260 121,130 60,565 181,696 90,848 45,424 22,712 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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