λ
Integer Codex

9,687,031

107 × 90533
Deficient Odd Composite

For 9,687,031, the 4 positive divisors have a total of 9,777,672. Removing 9,687,031 leaves 90,641, which gives the deficient classification.

Prime Factor Structure

Factorization String 107 × 90533
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,777,672
Proper Divisor Sum 90,641
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9687023 ← → #9687043

Radix Representation

Decimal 9687031
Binary 100100111100111111110111 (24 bits)
Octal 0o44747767
Hexadecimal 0x93CFF7

Divisor Catalog (4)

1 107 90,533 9,687,031

Collatz Trajectory (225 steps to reach 1)

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

9,687,031 29,061,094 14,530,547 43,591,642 21,795,821 65,387,464 32,693,732 16,346,866 8,173,433 24,520,300 12,260,150 6,130,075 18,390,226 9,195,113 27,585,340 13,792,670 6,896,335 20,689,006 10,344,503 31,033,510 15,516,755 46,550,266 23,275,133 69,825,400 34,912,700 17,456,350 8,728,175 26,184,526 13,092,263 39,276,790 19,638,395 58,915,186 29,457,593 88,372,780 44,186,390 22,093,195 66,279,586 33,139,793 99,419,380 49,709,690 24,854,845 74,564,536 37,282,268 18,641,134 9,320,567 27,961,702 13,980,851 41,942,554 20,971,277 62,913,832 31,456,916 15,728,458 7,864,229 23,592,688 11,796,344 5,898,172 2,949,086 1,474,543 4,423,630 2,211,815

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