λ
Harmonic Matrix

7,588,706

2 × 3794353
Deficient Even Composite

7,588,706 has digital root 5. The neighboring primes are 7588703 and 7588709; its proper-divisor sum differs from the starting integer by -3,794,350.

Prime Factor Structure

Factorization String 2 × 3794353
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,383,062
Proper Divisor Sum 3,794,356
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7588703 ← → #7588709

Radix Representation

Decimal 7588706
Binary 11100111100101101100010 (23 bits)
Octal 0o34745542
Hexadecimal 0x73CB62

Divisor Catalog (4)

1 2 3,794,353 7,588,706

Collatz Trajectory (103 steps to reach 1)

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

7,588,706 3,794,353 11,383,060 5,691,530 2,845,765 8,537,296 4,268,648 2,134,324 1,067,162 533,581 1,600,744 800,372 400,186 200,093 600,280 300,140 150,070 75,035 225,106 112,553 337,660 168,830 84,415 253,246 126,623 379,870 189,935 569,806 284,903 854,710 427,355 1,282,066 641,033 1,923,100 961,550 480,775 1,442,326 721,163 2,163,490 1,081,745 3,245,236 1,622,618 811,309 2,433,928 1,216,964 608,482 304,241 912,724 456,362 228,181 684,544 342,272 171,136 85,568 42,784 21,392 10,696 5,348 2,674 1,337

More profiles

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