λ
Harmonic Matrix

9,440,298

2 × 32 × 7 × 74923
Abundant Even Composite

9,440,298 has digital root 9. The neighboring primes are 9440293 and 9440303; its proper-divisor sum differs from the starting integer by 4,495,692.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 74923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,376,288
Proper Divisor Sum 13,935,990
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9440293 ← → #9440303

Radix Representation

Decimal 9440298
Binary 100100000000110000101010 (24 bits)
Octal 0o44006052
Hexadecimal 0x900C2A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 74,923 149,846 224,769 449,538 524,461 674,307 1,048,922 1,348,614 1,573,383 3,146,766 4,720,149 9,440,298

Collatz Trajectory (238 steps to reach 1)

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

9,440,298 4,720,149 14,160,448 7,080,224 3,540,112 1,770,056 885,028 442,514 221,257 663,772 331,886 165,943 497,830 248,915 746,746 373,373 1,120,120 560,060 280,030 140,015 420,046 210,023 630,070 315,035 945,106 472,553 1,417,660 708,830 354,415 1,063,246 531,623 1,594,870 797,435 2,392,306 1,196,153 3,588,460 1,794,230 897,115 2,691,346 1,345,673 4,037,020 2,018,510 1,009,255 3,027,766 1,513,883 4,541,650 2,270,825 6,812,476 3,406,238 1,703,119 5,109,358 2,554,679 7,664,038 3,832,019 11,496,058 5,748,029 17,244,088 8,622,044 4,311,022 2,155,511

More profiles

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