λ
Harmonic Matrix

6,733,647

32 × 748183
Deficient Odd Composite

6,733,647 has digital root 9. The neighboring primes are 6733637 and 6733663; its proper-divisor sum differs from the starting integer by -3,740,902.

Prime Factor Structure

Factorization String 3^2 × 748183
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,726,392
Proper Divisor Sum 2,992,745
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6733637 ← → #6733663

Radix Representation

Decimal 6733647
Binary 11001101011111101001111 (23 bits)
Octal 0o31537517
Hexadecimal 0x66BF4F

Divisor Catalog (6)

1 3 9 748,183 2,244,549 6,733,647

Collatz Trajectory (108 steps to reach 1)

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

6,733,647 20,200,942 10,100,471 30,301,414 15,150,707 45,452,122 22,726,061 68,178,184 34,089,092 17,044,546 8,522,273 25,566,820 12,783,410 6,391,705 19,175,116 9,587,558 4,793,779 14,381,338 7,190,669 21,572,008 10,786,004 5,393,002 2,696,501 8,089,504 4,044,752 2,022,376 1,011,188 505,594 252,797 758,392 379,196 189,598 94,799 284,398 142,199 426,598 213,299 639,898 319,949 959,848 479,924 239,962 119,981 359,944 179,972 89,986 44,993 134,980 67,490 33,745 101,236 50,618 25,309 75,928 37,964 18,982 9,491 28,474 14,237 42,712

More profiles

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