λ
Integer Codex

9,980,365

5 × 223 × 8951
Deficient Odd Composite

For 9,980,365, the 8 positive divisors have a total of 12,031,488. Removing 9,980,365 leaves 2,051,123, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 223 × 8951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,031,488
Proper Divisor Sum 2,051,123
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9980363 ← → #9980389

Radix Representation

Decimal 9980365
Binary 100110000100100111001101 (24 bits)
Octal 0o46044715
Hexadecimal 0x9849CD

Divisor Catalog (8)

1 5 223 1,115 8,951 44,755 1,996,073 9,980,365

Collatz Trajectory (137 steps to reach 1)

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

9,980,365 29,941,096 14,970,548 7,485,274 3,742,637 11,227,912 5,613,956 2,806,978 1,403,489 4,210,468 2,105,234 1,052,617 3,157,852 1,578,926 789,463 2,368,390 1,184,195 3,552,586 1,776,293 5,328,880 2,664,440 1,332,220 666,110 333,055 999,166 499,583 1,498,750 749,375 2,248,126 1,124,063 3,372,190 1,686,095 5,058,286 2,529,143 7,587,430 3,793,715 11,381,146 5,690,573 17,071,720 8,535,860 4,267,930 2,133,965 6,401,896 3,200,948 1,600,474 800,237 2,400,712 1,200,356 600,178 300,089 900,268 450,134 225,067 675,202 337,601 1,012,804 506,402 253,201 759,604 379,802

More profiles

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