λ
Integer Codex

8,241,531

3 × 2747177
Deficient Odd Composite

For 8,241,531, the 4 positive divisors have a total of 10,988,712. Removing 8,241,531 leaves 2,747,181, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2747177
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,988,712
Proper Divisor Sum 2,747,181
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8241529 ← → #8241551

Radix Representation

Decimal 8241531
Binary 11111011100000101111011 (23 bits)
Octal 0o37340573
Hexadecimal 0x7DC17B

Divisor Catalog (4)

1 3 2,747,177 8,241,531

Collatz Trajectory (217 steps to reach 1)

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

8,241,531 24,724,594 12,362,297 37,086,892 18,543,446 9,271,723 27,815,170 13,907,585 41,722,756 20,861,378 10,430,689 31,292,068 15,646,034 7,823,017 23,469,052 11,734,526 5,867,263 17,601,790 8,800,895 26,402,686 13,201,343 39,604,030 19,802,015 59,406,046 29,703,023 89,109,070 44,554,535 133,663,606 66,831,803 200,495,410 100,247,705 300,743,116 150,371,558 75,185,779 225,557,338 112,778,669 338,336,008 169,168,004 84,584,002 42,292,001 126,876,004 63,438,002 31,719,001 95,157,004 47,578,502 23,789,251 71,367,754 35,683,877 107,051,632 53,525,816 26,762,908 13,381,454 6,690,727 20,072,182 10,036,091 30,108,274 15,054,137 45,162,412 22,581,206 11,290,603

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