λ
Harmonic Matrix

6,996,798

2 × 32 × 388711
Abundant Even Composite

6,996,798 has digital root 9. The neighboring primes are 6996739 and 6996823; its proper-divisor sum differs from the starting integer by 1,166,172.

Prime Factor Structure

Factorization String 2 × 3^2 × 388711
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,159,768
Proper Divisor Sum 8,162,970
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #6996739 ← → #6996823

Radix Representation

Decimal 6996798
Binary 11010101100001100111110 (23 bits)
Octal 0o32541476
Hexadecimal 0x6AC33E

Divisor Catalog (12)

1 2 3 6 9 18 388,711 777,422 1,166,133 2,332,266 3,498,399 6,996,798

Collatz Trajectory (152 steps to reach 1)

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

6,996,798 3,498,399 10,495,198 5,247,599 15,742,798 7,871,399 23,614,198 11,807,099 35,421,298 17,710,649 53,131,948 26,565,974 13,282,987 39,848,962 19,924,481 59,773,444 29,886,722 14,943,361 44,830,084 22,415,042 11,207,521 33,622,564 16,811,282 8,405,641 25,216,924 12,608,462 6,304,231 18,912,694 9,456,347 28,369,042 14,184,521 42,553,564 21,276,782 10,638,391 31,915,174 15,957,587 47,872,762 23,936,381 71,809,144 35,904,572 17,952,286 8,976,143 26,928,430 13,464,215 40,392,646 20,196,323 60,588,970 30,294,485 90,883,456 45,441,728 22,720,864 11,360,432 5,680,216 2,840,108 1,420,054 710,027 2,130,082 1,065,041 3,195,124 1,597,562

More profiles

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