λ
Harmonic Matrix

5,768,097

3 × 67 × 28697
Deficient Odd Composite

5,768,097 has digital root 6. The neighboring primes are 5768093 and 5768123; its proper-divisor sum differs from the starting integer by -3,730,338.

Prime Factor Structure

Factorization String 3 × 67 × 28697
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,805,856
Proper Divisor Sum 2,037,759
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5768093 ← → #5768123

Radix Representation

Decimal 5768097
Binary 10110000000001110100001 (23 bits)
Octal 0o26001641
Hexadecimal 0x5803A1

Divisor Catalog (8)

1 3 67 201 28,697 86,091 1,922,699 5,768,097

Collatz Trajectory (170 steps to reach 1)

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

5,768,097 17,304,292 8,652,146 4,326,073 12,978,220 6,489,110 3,244,555 9,733,666 4,866,833 14,600,500 7,300,250 3,650,125 10,950,376 5,475,188 2,737,594 1,368,797 4,106,392 2,053,196 1,026,598 513,299 1,539,898 769,949 2,309,848 1,154,924 577,462 288,731 866,194 433,097 1,299,292 649,646 324,823 974,470 487,235 1,461,706 730,853 2,192,560 1,096,280 548,140 274,070 137,035 411,106 205,553 616,660 308,330 154,165 462,496 231,248 115,624 57,812 28,906 14,453 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100

More profiles

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