λ
Harmonic Matrix

7,109,697

3 × 7 × 83 × 4079
Deficient Odd Composite

7,109,697 has digital root 3. The neighboring primes are 7109681 and 7109731; its proper-divisor sum differs from the starting integer by -3,252,354.

Prime Factor Structure

Factorization String 3 × 7 × 83 × 4079
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,967,040
Proper Divisor Sum 3,857,343
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7109681 ← → #7109731

Radix Representation

Decimal 7109697
Binary 11011000111110001000001 (23 bits)
Octal 0o33076101
Hexadecimal 0x6C7C41

Divisor Catalog (16)

1 3 7 21 83 249 581 1,743 4,079 12,237 28,553 85,659 338,557 1,015,671 2,369,899 7,109,697

Collatz Trajectory (178 steps to reach 1)

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

7,109,697 21,329,092 10,664,546 5,332,273 15,996,820 7,998,410 3,999,205 11,997,616 5,998,808 2,999,404 1,499,702 749,851 2,249,554 1,124,777 3,374,332 1,687,166 843,583 2,530,750 1,265,375 3,796,126 1,898,063 5,694,190 2,847,095 8,541,286 4,270,643 12,811,930 6,405,965 19,217,896 9,608,948 4,804,474 2,402,237 7,206,712 3,603,356 1,801,678 900,839 2,702,518 1,351,259 4,053,778 2,026,889 6,080,668 3,040,334 1,520,167 4,560,502 2,280,251 6,840,754 3,420,377 10,261,132 5,130,566 2,565,283 7,695,850 3,847,925 11,543,776 5,771,888 2,885,944 1,442,972 721,486 360,743 1,082,230 541,115 1,623,346

More profiles

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