λ
Prime Ledger

9,412,338

2 × 3 × 13 × 120671
Abundant Even Composite

9,412,338 has the prime decomposition 2 × 3 × 13 × 120671. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 120671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,272,896
Proper Divisor Sum 10,860,558
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9412303 ← → #9412343

Radix Representation

Decimal 9412338
Binary 100011111001111011110010 (24 bits)
Octal 0o43717362
Hexadecimal 0x8F9EF2

Divisor Catalog (16)

1 2 3 6 13 26 39 78 120,671 241,342 362,013 724,026 1,568,723 3,137,446 4,706,169 9,412,338

Collatz Trajectory (132 steps to reach 1)

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

9,412,338 4,706,169 14,118,508 7,059,254 3,529,627 10,588,882 5,294,441 15,883,324 7,941,662 3,970,831 11,912,494 5,956,247 17,868,742 8,934,371 26,803,114 13,401,557 40,204,672 20,102,336 10,051,168 5,025,584 2,512,792 1,256,396 628,198 314,099 942,298 471,149 1,413,448 706,724 353,362 176,681 530,044 265,022 132,511 397,534 198,767 596,302 298,151 894,454 447,227 1,341,682 670,841 2,012,524 1,006,262 503,131 1,509,394 754,697 2,264,092 1,132,046 566,023 1,698,070 849,035 2,547,106 1,273,553 3,820,660 1,910,330 955,165 2,865,496 1,432,748 716,374 358,187

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