λ
Prime Ledger

9,042,108

22 × 3 × 317 × 2377
Abundant Even Composite

9,042,108 has the prime decomposition 2^2 × 3 × 317 × 2377. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 317 × 2377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,173,712
Proper Divisor Sum 12,131,604
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9042107 ← → #9042109

Radix Representation

Decimal 9042108
Binary 100010011111100010111100 (24 bits)
Octal 0o42374274
Hexadecimal 0x89F8BC

Divisor Catalog (24)

1 2 3 4 6 12 317 634 951 1,268 1,902 2,377 3,804 4,754 7,131 9,508 14,262 28,524 753,509 1,507,018 2,260,527 3,014,036 4,521,054 9,042,108

Collatz Trajectory (137 steps to reach 1)

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

9,042,108 4,521,054 2,260,527 6,781,582 3,390,791 10,172,374 5,086,187 15,258,562 7,629,281 22,887,844 11,443,922 5,721,961 17,165,884 8,582,942 4,291,471 12,874,414 6,437,207 19,311,622 9,655,811 28,967,434 14,483,717 43,451,152 21,725,576 10,862,788 5,431,394 2,715,697 8,147,092 4,073,546 2,036,773 6,110,320 3,055,160 1,527,580 763,790 381,895 1,145,686 572,843 1,718,530 859,265 2,577,796 1,288,898 644,449 1,933,348 966,674 483,337 1,450,012 725,006 362,503 1,087,510 543,755 1,631,266 815,633 2,446,900 1,223,450 611,725 1,835,176 917,588 458,794 229,397 688,192 344,096

More profiles

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