λ
Harmonic Matrix

1,781,788

22 × 445447
Deficient Even Composite

1,781,788 has digital root 4. The neighboring primes are 1781783 and 1781803; its proper-divisor sum differs from the starting integer by -445,440.

Prime Factor Structure

Factorization String 2^2 × 445447
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,118,136
Proper Divisor Sum 1,336,348
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1781783 ← → #1781803

Radix Representation

Decimal 1781788
Binary 110110011000000011100 (21 bits)
Octal 0o6630034
Hexadecimal 0x1B301C

Divisor Catalog (6)

1 2 4 445,447 890,894 1,781,788

Collatz Trajectory (171 steps to reach 1)

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

1,781,788 890,894 445,447 1,336,342 668,171 2,004,514 1,002,257 3,006,772 1,503,386 751,693 2,255,080 1,127,540 563,770 281,885 845,656 422,828 211,414 105,707 317,122 158,561 475,684 237,842 118,921 356,764 178,382 89,191 267,574 133,787 401,362 200,681 602,044 301,022 150,511 451,534 225,767 677,302 338,651 1,015,954 507,977 1,523,932 761,966 380,983 1,142,950 571,475 1,714,426 857,213 2,571,640 1,285,820 642,910 321,455 964,366 482,183 1,446,550 723,275 2,169,826 1,084,913 3,254,740 1,627,370 813,685 2,441,056

More profiles

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