λ
Harmonic Matrix

6,994,737

32 × 23 × 33791
Deficient Odd Composite

6,994,737 has digital root 9. The neighboring primes are 6994727 and 6994751; its proper-divisor sum differs from the starting integer by -3,446,370.

Prime Factor Structure

Factorization String 3^2 × 23 × 33791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,543,104
Proper Divisor Sum 3,548,367
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6994727 ← → #6994751

Radix Representation

Decimal 6994737
Binary 11010101011101100110001 (23 bits)
Octal 0o32535461
Hexadecimal 0x6ABB31

Divisor Catalog (12)

1 3 9 23 69 207 33,791 101,373 304,119 777,193 2,331,579 6,994,737

Collatz Trajectory (98 steps to reach 1)

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

6,994,737 20,984,212 10,492,106 5,246,053 15,738,160 7,869,080 3,934,540 1,967,270 983,635 2,950,906 1,475,453 4,426,360 2,213,180 1,106,590 553,295 1,659,886 829,943 2,489,830 1,244,915 3,734,746 1,867,373 5,602,120 2,801,060 1,400,530 700,265 2,100,796 1,050,398 525,199 1,575,598 787,799 2,363,398 1,181,699 3,545,098 1,772,549 5,317,648 2,658,824 1,329,412 664,706 332,353 997,060 498,530 249,265 747,796 373,898 186,949 560,848 280,424 140,212 70,106 35,053 105,160 52,580 26,290 13,145 39,436 19,718 9,859 29,578 14,789 44,368

More profiles

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