9,729,124

2² × 89 × 27329

Prime Factor Structure

Factorization String 2^2 × 89 × 27329

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,217,900

Proper Divisor Sum 7,488,776

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9729103 ← → #9729127

Radix Representation

Decimal	9729124
Binary	100101000111010001100100 (24 bits)
Octal	0o45072144
Hexadecimal	0x947464

Divisor Catalog (12)

1 2 4 89 178 356 27,329 54,658 109,316 2,432,281 4,864,562 9,729,124

Collatz Trajectory (225 steps to reach 1)

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

9,729,124 4,864,562 2,432,281 7,296,844 3,648,422 1,824,211 5,472,634 2,736,317 8,208,952 4,104,476 2,052,238 1,026,119 3,078,358 1,539,179 4,617,538 2,308,769 6,926,308 3,463,154 1,731,577 5,194,732 2,597,366 1,298,683 3,896,050 1,948,025 5,844,076 2,922,038 1,461,019 4,383,058 2,191,529 6,574,588 3,287,294 1,643,647 4,930,942 2,465,471 7,396,414 3,698,207 11,094,622 5,547,311 16,641,934 8,320,967 24,962,902 12,481,451 37,444,354 18,722,177 56,166,532 28,083,266 14,041,633 42,124,900 21,062,450 10,531,225 31,593,676 15,796,838 7,898,419 23,695,258 11,847,629 35,542,888 17,771,444 8,885,722 4,442,861 13,328,584

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