λ
Harmonic Matrix

1,795,377

3 × 71 × 8429
Deficient Odd Composite

1,795,377 has digital root 3. The neighboring primes are 1795369 and 1795411; its proper-divisor sum differs from the starting integer by -1,162,914.

Prime Factor Structure

Factorization String 3 × 71 × 8429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,427,840
Proper Divisor Sum 632,463
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1795369 ← → #1795411

Radix Representation

Decimal 1795377
Binary 110110110010100110001 (21 bits)
Octal 0o6662461
Hexadecimal 0x1B6531

Divisor Catalog (8)

1 3 71 213 8,429 25,287 598,459 1,795,377

Collatz Trajectory (114 steps to reach 1)

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

1,795,377 5,386,132 2,693,066 1,346,533 4,039,600 2,019,800 1,009,900 504,950 252,475 757,426 378,713 1,136,140 568,070 284,035 852,106 426,053 1,278,160 639,080 319,540 159,770 79,885 239,656 119,828 59,914 29,957 89,872 44,936 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319

More profiles

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