λ
Harmonic Matrix

1,781,623

59 × 30197
Deficient Odd Composite

1,781,623 has digital root 1. The neighboring primes are 1781621 and 1781641; its proper-divisor sum differs from the starting integer by -1,751,366.

Prime Factor Structure

Factorization String 59 × 30197
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,811,880
Proper Divisor Sum 30,257
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1781621 ← → #1781641

Radix Representation

Decimal 1781623
Binary 110110010111101110111 (21 bits)
Octal 0o6627567
Hexadecimal 0x1B2F77

Divisor Catalog (4)

1 59 30,197 1,781,623

Collatz Trajectory (171 steps to reach 1)

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

1,781,623 5,344,870 2,672,435 8,017,306 4,008,653 12,025,960 6,012,980 3,006,490 1,503,245 4,509,736 2,254,868 1,127,434 563,717 1,691,152 845,576 422,788 211,394 105,697 317,092 158,546 79,273 237,820 118,910 59,455 178,366 89,183 267,550 133,775 401,326 200,663 601,990 300,995 902,986 451,493 1,354,480 677,240 338,620 169,310 84,655 253,966 126,983 380,950 190,475 571,426 285,713 857,140 428,570 214,285 642,856 321,428 160,714 80,357 241,072 120,536 60,268 30,134 15,067 45,202 22,601 67,804

More profiles

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