λ
Harmonic Matrix

5,984,409

3 × 353 × 5651
Deficient Odd Composite

5,984,409 has digital root 3. The neighboring primes are 5984399 and 5984453; its proper-divisor sum differs from the starting integer by -3,965,586.

Prime Factor Structure

Factorization String 3 × 353 × 5651
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,003,232
Proper Divisor Sum 2,018,823
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5984399 ← → #5984453

Radix Representation

Decimal 5984409
Binary 10110110101000010011001 (23 bits)
Octal 0o26650231
Hexadecimal 0x5B5099

Divisor Catalog (8)

1 3 353 1,059 5,651 16,953 1,994,803 5,984,409

Collatz Trajectory (113 steps to reach 1)

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

5,984,409 17,953,228 8,976,614 4,488,307 13,464,922 6,732,461 20,197,384 10,098,692 5,049,346 2,524,673 7,574,020 3,787,010 1,893,505 5,680,516 2,840,258 1,420,129 4,260,388 2,130,194 1,065,097 3,195,292 1,597,646 798,823 2,396,470 1,198,235 3,594,706 1,797,353 5,392,060 2,696,030 1,348,015 4,044,046 2,022,023 6,066,070 3,033,035 9,099,106 4,549,553 13,648,660 6,824,330 3,412,165 10,236,496 5,118,248 2,559,124 1,279,562 639,781 1,919,344 959,672 479,836 239,918 119,959 359,878 179,939 539,818 269,909 809,728 404,864 202,432 101,216 50,608 25,304 12,652 6,326

More profiles

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