9,120,123

3² × 29 × 83 × 421

For 9,120,123, the 24 positive divisors have a total of 13,824,720. Removing 9,120,123 leaves 4,704,597, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 29 × 83 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,824,720

Proper Divisor Sum 4,704,597

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #9120119 ← → #9120127

Radix Representation

Decimal	9120123
Binary	100010110010100101111011 (24 bits)
Octal	0o42624573
Hexadecimal	0x8B297B

Divisor Catalog (24)

1 3 9 29 83 87 249 261 421 747 1,263 2,407 3,789 7,221 12,209 21,663 34,943 36,627 104,829 109,881 314,487 1,013,347 3,040,041 9,120,123

Collatz Trajectory (225 steps to reach 1)

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

9,120,123 27,360,370 13,680,185 41,040,556 20,520,278 10,260,139 30,780,418 15,390,209 46,170,628 23,085,314 11,542,657 34,627,972 17,313,986 8,656,993 25,970,980 12,985,490 6,492,745 19,478,236 9,739,118 4,869,559 14,608,678 7,304,339 21,913,018 10,956,509 32,869,528 16,434,764 8,217,382 4,108,691 12,326,074 6,163,037 18,489,112 9,244,556 4,622,278 2,311,139 6,933,418 3,466,709 10,400,128 5,200,064 2,600,032 1,300,016 650,008 325,004 162,502 81,251 243,754 121,877 365,632 182,816 91,408 45,704 22,852 11,426 5,713 17,140 8,570 4,285 12,856 6,428 3,214 1,607

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