λ
Harmonic Matrix

5,913,891

35 × 24337
Deficient Odd Composite

5,913,891 has digital root 9. The neighboring primes are 5913863 and 5913893; its proper-divisor sum differs from the starting integer by -2,968,750.

Prime Factor Structure

Factorization String 3^5 × 24337
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,859,032
Proper Divisor Sum 2,945,141
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5913863 ← → #5913893

Radix Representation

Decimal 5913891
Binary 10110100011110100100011 (23 bits)
Octal 0o26436443
Hexadecimal 0x5A3D23

Divisor Catalog (12)

1 3 9 27 81 243 24,337 73,011 219,033 657,099 1,971,297 5,913,891

Collatz Trajectory (170 steps to reach 1)

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

5,913,891 17,741,674 8,870,837 26,612,512 13,306,256 6,653,128 3,326,564 1,663,282 831,641 2,494,924 1,247,462 623,731 1,871,194 935,597 2,806,792 1,403,396 701,698 350,849 1,052,548 526,274 263,137 789,412 394,706 197,353 592,060 296,030 148,015 444,046 222,023 666,070 333,035 999,106 499,553 1,498,660 749,330 374,665 1,123,996 561,998 280,999 842,998 421,499 1,264,498 632,249 1,896,748 948,374 474,187 1,422,562 711,281 2,133,844 1,066,922 533,461 1,600,384 800,192 400,096 200,048 100,024 50,012 25,006 12,503 37,510

More profiles

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