λ
Harmonic Matrix

7,002,692

22 × 1750673
Deficient Even Composite

7,002,692 has digital root 8. The neighboring primes are 7002689 and 7002701; its proper-divisor sum differs from the starting integer by -1,750,666.

Prime Factor Structure

Factorization String 2^2 × 1750673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,254,718
Proper Divisor Sum 5,252,026
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7002689 ← → #7002701

Radix Representation

Decimal 7002692
Binary 11010101101101001000100 (23 bits)
Octal 0o32555104
Hexadecimal 0x6ADA44

Divisor Catalog (6)

1 2 4 1,750,673 3,501,346 7,002,692

Collatz Trajectory (191 steps to reach 1)

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

7,002,692 3,501,346 1,750,673 5,252,020 2,626,010 1,313,005 3,939,016 1,969,508 984,754 492,377 1,477,132 738,566 369,283 1,107,850 553,925 1,661,776 830,888 415,444 207,722 103,861 311,584 155,792 77,896 38,948 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235

More profiles

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