λ
Harmonic Matrix

9,449,080

23 × 5 × 19 × 12433
Abundant Even Composite

9,449,080 has digital root 7. The neighboring primes are 9449071 and 9449107; its proper-divisor sum differs from the starting integer by 3,483,040.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 12433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,381,200
Proper Divisor Sum 12,932,120
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9449071 ← → #9449107

Radix Representation

Decimal 9449080
Binary 100100000010111001111000 (24 bits)
Octal 0o44027170
Hexadecimal 0x902E78

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 12,433 24,866 49,732 62,165 99,464 124,330 236,227 248,660 472,454 497,320 944,908 1,181,135 1,889,816 2,362,270 4,724,540 9,449,080

Collatz Trajectory (176 steps to reach 1)

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

9,449,080 4,724,540 2,362,270 1,181,135 3,543,406 1,771,703 5,315,110 2,657,555 7,972,666 3,986,333 11,959,000 5,979,500 2,989,750 1,494,875 4,484,626 2,242,313 6,726,940 3,363,470 1,681,735 5,045,206 2,522,603 7,567,810 3,783,905 11,351,716 5,675,858 2,837,929 8,513,788 4,256,894 2,128,447 6,385,342 3,192,671 9,578,014 4,789,007 14,367,022 7,183,511 21,550,534 10,775,267 32,325,802 16,162,901 48,488,704 24,244,352 12,122,176 6,061,088 3,030,544 1,515,272 757,636 378,818 189,409 568,228 284,114 142,057 426,172 213,086 106,543 319,630 159,815 479,446 239,723 719,170 359,585

More profiles

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