λ
Harmonic Matrix

9,412,380

22 × 32 × 5 × 52291
Abundant Even Composite

9,412,380 has digital root 9. The neighboring primes are 9412379 and 9412397; its proper-divisor sum differs from the starting integer by 9,726,672.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 52291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 28,551,432
Proper Divisor Sum 19,139,052
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9412379 ← → #9412397

Radix Representation

Decimal 9412380
Binary 100011111001111100011100 (24 bits)
Octal 0o43717434
Hexadecimal 0x8F9F1C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 52,291 104,582 156,873 209,164 261,455 313,746 470,619 522,910 627,492 784,365 941,238 1,045,820 1,568,730 1,882,476 2,353,095 3,137,460 4,706,190 9,412,380

Collatz Trajectory (132 steps to reach 1)

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

9,412,380 4,706,190 2,353,095 7,059,286 3,529,643 10,588,930 5,294,465 15,883,396 7,941,698 3,970,849 11,912,548 5,956,274 2,978,137 8,934,412 4,467,206 2,233,603 6,700,810 3,350,405 10,051,216 5,025,608 2,512,804 1,256,402 628,201 1,884,604 942,302 471,151 1,413,454 706,727 2,120,182 1,060,091 3,180,274 1,590,137 4,770,412 2,385,206 1,192,603 3,577,810 1,788,905 5,366,716 2,683,358 1,341,679 4,025,038 2,012,519 6,037,558 3,018,779 9,056,338 4,528,169 13,584,508 6,792,254 3,396,127 10,188,382 5,094,191 15,282,574 7,641,287 22,923,862 11,461,931 34,385,794 17,192,897 51,578,692 25,789,346 12,894,673

More profiles

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