λ
Harmonic Matrix

1,177,446

2 × 3 × 311 × 631
Abundant Even Composite

1,177,446 has digital root 3. The neighboring primes are 1177433 and 1177447; its proper-divisor sum differs from the starting integer by 11,316.

Prime Factor Structure

Factorization String 2 × 3 × 311 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,366,208
Proper Divisor Sum 1,188,762
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1177433 ← → #1177447

Radix Representation

Decimal 1177446
Binary 100011111011101100110 (21 bits)
Octal 0o4373546
Hexadecimal 0x11F766

Divisor Catalog (16)

1 2 3 6 311 622 631 933 1,262 1,866 1,893 3,786 196,241 392,482 588,723 1,177,446

Collatz Trajectory (160 steps to reach 1)

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

1,177,446 588,723 1,766,170 883,085 2,649,256 1,324,628 662,314 331,157 993,472 496,736 248,368 124,184 62,092 31,046 15,523 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214

More profiles

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