9,000,292

2² × 7 × 31 × 10369

9,000,292 has the prime decomposition 2^2 × 7 × 31 × 10369. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 10369

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,583,040

Proper Divisor Sum 9,582,748

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #9000289 ← → #9000317

Radix Representation

Decimal	9000292
Binary	100010010101010101100100 (24 bits)
Octal	0o42252544
Hexadecimal	0x895564

Divisor Catalog (24)

1 2 4 7 14 28 31 62 124 217 434 868 10,369 20,738 41,476 72,583 145,166 290,332 321,439 642,878 1,285,756 2,250,073 4,500,146 9,000,292

Collatz Trajectory (256 steps to reach 1)

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

9,000,292 4,500,146 2,250,073 6,750,220 3,375,110 1,687,555 5,062,666 2,531,333 7,594,000 3,797,000 1,898,500 949,250 474,625 1,423,876 711,938 355,969 1,067,908 533,954 266,977 800,932 400,466 200,233 600,700 300,350 150,175 450,526 225,263 675,790 337,895 1,013,686 506,843 1,520,530 760,265 2,280,796 1,140,398 570,199 1,710,598 855,299 2,565,898 1,282,949 3,848,848 1,924,424 962,212 481,106 240,553 721,660 360,830 180,415 541,246 270,623 811,870 405,935 1,217,806 608,903 1,826,710 913,355 2,740,066 1,370,033 4,110,100 2,055,050

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