λ
Harmonic Matrix

1,794,756

22 × 3 × 149563
Abundant Even Composite

1,794,756 has digital root 3. The neighboring primes are 1794733 and 1794757; its proper-divisor sum differs from the starting integer by 598,280.

Prime Factor Structure

Factorization String 2^2 × 3 × 149563
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,187,792
Proper Divisor Sum 2,393,036
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1794733 ← → #1794757

Radix Representation

Decimal 1794756
Binary 110110110001011000100 (21 bits)
Octal 0o6661304
Hexadecimal 0x1B62C4

Divisor Catalog (12)

1 2 3 4 6 12 149,563 299,126 448,689 598,252 897,378 1,794,756

Collatz Trajectory (96 steps to reach 1)

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

1,794,756 897,378 448,689 1,346,068 673,034 336,517 1,009,552 504,776 252,388 126,194 63,097 189,292 94,646 47,323 141,970 70,985 212,956 106,478 53,239 159,718 79,859 239,578 119,789 359,368 179,684 89,842 44,921 134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898

More profiles

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