λ
Harmonic Matrix

1,776,462

2 × 3 × 19 × 15583
Abundant Even Composite

1,776,462 has digital root 6. The neighboring primes are 1776461 and 1776469; its proper-divisor sum differs from the starting integer by 187,236.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 15583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,740,160
Proper Divisor Sum 1,963,698
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1776461 ← → #1776469

Radix Representation

Decimal 1776462
Binary 110110001101101001110 (21 bits)
Octal 0o6615516
Hexadecimal 0x1B1B4E

Divisor Catalog (16)

1 2 3 6 19 38 57 114 15,583 31,166 46,749 93,498 296,077 592,154 888,231 1,776,462

Collatz Trajectory (145 steps to reach 1)

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

1,776,462 888,231 2,664,694 1,332,347 3,997,042 1,998,521 5,995,564 2,997,782 1,498,891 4,496,674 2,248,337 6,745,012 3,372,506 1,686,253 5,058,760 2,529,380 1,264,690 632,345 1,897,036 948,518 474,259 1,422,778 711,389 2,134,168 1,067,084 533,542 266,771 800,314 400,157 1,200,472 600,236 300,118 150,059 450,178 225,089 675,268 337,634 168,817 506,452 253,226 126,613 379,840 189,920 94,960 47,480 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269

More profiles

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