λ
Harmonic Matrix

8,875,449

32 × 11 × 37 × 2423
Deficient Odd Composite

8,875,449 has digital root 9. The neighboring primes are 8875417 and 8875453; its proper-divisor sum differs from the starting integer by -3,381,426.

Prime Factor Structure

Factorization String 3^2 × 11 × 37 × 2423
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,369,472
Proper Divisor Sum 5,494,023
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8875417 ← → #8875453

Radix Representation

Decimal 8875449
Binary 100001110110110110111001 (24 bits)
Octal 0o41666671
Hexadecimal 0x876DB9

Divisor Catalog (24)

1 3 9 11 33 37 99 111 333 407 1,221 2,423 3,663 7,269 21,807 26,653 79,959 89,651 239,877 268,953 806,859 986,161 2,958,483 8,875,449

Collatz Trajectory (168 steps to reach 1)

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

8,875,449 26,626,348 13,313,174 6,656,587 19,969,762 9,984,881 29,954,644 14,977,322 7,488,661 22,465,984 11,232,992 5,616,496 2,808,248 1,404,124 702,062 351,031 1,053,094 526,547 1,579,642 789,821 2,369,464 1,184,732 592,366 296,183 888,550 444,275 1,332,826 666,413 1,999,240 999,620 499,810 249,905 749,716 374,858 187,429 562,288 281,144 140,572 70,286 35,143 105,430 52,715 158,146 79,073 237,220 118,610 59,305 177,916 88,958 44,479 133,438 66,719 200,158 100,079 300,238 150,119 450,358 225,179 675,538 337,769

More profiles

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