λ
Harmonic Matrix

9,123,230

2 × 5 × 19 × 48017
Deficient Even Composite

9,123,230 has digital root 2. The neighboring primes are 9123199 and 9123239; its proper-divisor sum differs from the starting integer by -959,980.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 48017
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,286,480
Proper Divisor Sum 8,163,250
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9123199 ← → #9123239

Radix Representation

Decimal 9123230
Binary 100010110011010110011110 (24 bits)
Octal 0o42632636
Hexadecimal 0x8B359E

Divisor Catalog (16)

1 2 5 10 19 38 95 190 48,017 96,034 240,085 480,170 912,323 1,824,646 4,561,615 9,123,230

Collatz Trajectory (243 steps to reach 1)

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

9,123,230 4,561,615 13,684,846 6,842,423 20,527,270 10,263,635 30,790,906 15,395,453 46,186,360 23,093,180 11,546,590 5,773,295 17,319,886 8,659,943 25,979,830 12,989,915 38,969,746 19,484,873 58,454,620 29,227,310 14,613,655 43,840,966 21,920,483 65,761,450 32,880,725 98,642,176 49,321,088 24,660,544 12,330,272 6,165,136 3,082,568 1,541,284 770,642 385,321 1,155,964 577,982 288,991 866,974 433,487 1,300,462 650,231 1,950,694 975,347 2,926,042 1,463,021 4,389,064 2,194,532 1,097,266 548,633 1,645,900 822,950 411,475 1,234,426 617,213 1,851,640 925,820 462,910 231,455 694,366 347,183

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