λ
Harmonic Matrix

5,884,377

3 × 193 × 10163
Deficient Odd Composite

5,884,377 has digital root 6. The neighboring primes are 5884349 and 5884379; its proper-divisor sum differs from the starting integer by -3,881,490.

Prime Factor Structure

Factorization String 3 × 193 × 10163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,887,264
Proper Divisor Sum 2,002,887
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5884349 ← → #5884379

Radix Representation

Decimal 5884377
Binary 10110011100100111011001 (23 bits)
Octal 0o26344731
Hexadecimal 0x59C9D9

Divisor Catalog (8)

1 3 193 579 10,163 30,489 1,961,459 5,884,377

Collatz Trajectory (95 steps to reach 1)

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

5,884,377 17,653,132 8,826,566 4,413,283 13,239,850 6,619,925 19,859,776 9,929,888 4,964,944 2,482,472 1,241,236 620,618 310,309 930,928 465,464 232,732 116,366 58,183 174,550 87,275 261,826 130,913 392,740 196,370 98,185 294,556 147,278 73,639 220,918 110,459 331,378 165,689 497,068 248,534 124,267 372,802 186,401 559,204 279,602 139,801 419,404 209,702 104,851 314,554 157,277 471,832 235,916 117,958 58,979 176,938 88,469 265,408 132,704 66,352 33,176 16,588 8,294 4,147 12,442 6,221

More profiles

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