λ
Harmonic Matrix

6,354,998

2 × 13 × 244423
Deficient Even Composite

6,354,998 has digital root 8. The neighboring primes are 6354989 and 6355001; its proper-divisor sum differs from the starting integer by -2,444,188.

Prime Factor Structure

Factorization String 2 × 13 × 244423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,265,808
Proper Divisor Sum 3,910,810
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6354989 ← → #6355001

Radix Representation

Decimal 6354998
Binary 11000001111100000110110 (23 bits)
Octal 0o30174066
Hexadecimal 0x60F836

Divisor Catalog (8)

1 2 13 26 244,423 488,846 3,177,499 6,354,998

Collatz Trajectory (196 steps to reach 1)

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

6,354,998 3,177,499 9,532,498 4,766,249 14,298,748 7,149,374 3,574,687 10,724,062 5,362,031 16,086,094 8,043,047 24,129,142 12,064,571 36,193,714 18,096,857 54,290,572 27,145,286 13,572,643 40,717,930 20,358,965 61,076,896 30,538,448 15,269,224 7,634,612 3,817,306 1,908,653 5,725,960 2,862,980 1,431,490 715,745 2,147,236 1,073,618 536,809 1,610,428 805,214 402,607 1,207,822 603,911 1,811,734 905,867 2,717,602 1,358,801 4,076,404 2,038,202 1,019,101 3,057,304 1,528,652 764,326 382,163 1,146,490 573,245 1,719,736 859,868 429,934 214,967 644,902 322,451 967,354 483,677 1,451,032

More profiles

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