λ
Harmonic Matrix

841,649

613 × 1373
Deficient Odd Composite

841,649 has digital root 5. The neighboring primes are 841637 and 841651; its proper-divisor sum differs from the starting integer by -839,662.

Prime Factor Structure

Factorization String 613 × 1373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 843,636
Proper Divisor Sum 1,987
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #841637 ← → #841651

Radix Representation

Decimal 841649
Binary 11001101011110110001 (20 bits)
Octal 0o3153661
Hexadecimal 0xCD7B1

Divisor Catalog (4)

1 613 1,373 841,649

Collatz Trajectory (82 steps to reach 1)

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

841,649 2,524,948 1,262,474 631,237 1,893,712 946,856 473,428 236,714 118,357 355,072 177,536 88,768 44,384 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152

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