λ
Harmonic Matrix

5,527,109

7 × 789587
Deficient Odd Composite

5,527,109 has digital root 2. The neighboring primes are 5527103 and 5527117; its proper-divisor sum differs from the starting integer by -4,737,514.

Prime Factor Structure

Factorization String 7 × 789587
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,316,704
Proper Divisor Sum 789,595
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5527103 ← → #5527117

Radix Representation

Decimal 5527109
Binary 10101000101011001000101 (23 bits)
Octal 0o25053105
Hexadecimal 0x545645

Divisor Catalog (4)

1 7 789,587 5,527,109

Collatz Trajectory (64 steps to reach 1)

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

5,527,109 16,581,328 8,290,664 4,145,332 2,072,666 1,036,333 3,109,000 1,554,500 777,250 388,625 1,165,876 582,938 291,469 874,408 437,204 218,602 109,301 327,904 163,952 81,976 40,988 20,494 10,247 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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