λ
Integer Codex

8,325,615

3 × 5 × 555041
Deficient Odd Composite

For 8,325,615, the 8 positive divisors have a total of 13,321,008. Removing 8,325,615 leaves 4,995,393, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 555041
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,321,008
Proper Divisor Sum 4,995,393
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8325613 ← → #8325619

Radix Representation

Decimal 8325615
Binary 11111110000100111101111 (23 bits)
Octal 0o37604757
Hexadecimal 0x7F09EF

Divisor Catalog (8)

1 3 5 15 555,041 1,665,123 2,775,205 8,325,615

Collatz Trajectory (137 steps to reach 1)

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

8,325,615 24,976,846 12,488,423 37,465,270 18,732,635 56,197,906 28,098,953 84,296,860 42,148,430 21,074,215 63,222,646 31,611,323 94,833,970 47,416,985 142,250,956 71,125,478 35,562,739 106,688,218 53,344,109 160,032,328 80,016,164 40,008,082 20,004,041 60,012,124 30,006,062 15,003,031 45,009,094 22,504,547 67,513,642 33,756,821 101,270,464 50,635,232 25,317,616 12,658,808 6,329,404 3,164,702 1,582,351 4,747,054 2,373,527 7,120,582 3,560,291 10,680,874 5,340,437 16,021,312 8,010,656 4,005,328 2,002,664 1,001,332 500,666 250,333 751,000 375,500 187,750 93,875 281,626 140,813 422,440 211,220 105,610 52,805

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