λ
Harmonic Matrix

1,047,066

2 × 3 × 472 × 79
Abundant Even Composite

1,047,066 has digital root 6. The neighboring primes are 1047061 and 1047077; its proper-divisor sum differs from the starting integer by 72,588.

Prime Factor Structure

Factorization String 2 × 3 × 47^2 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,166,720
Proper Divisor Sum 1,119,654
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1047061 ← → #1047077

Radix Representation

Decimal 1047066
Binary 11111111101000011010 (20 bits)
Octal 0o3775032
Hexadecimal 0xFFA1A

Divisor Catalog (24)

1 2 3 6 47 79 94 141 158 237 282 474 2,209 3,713 4,418 6,627 7,426 11,139 13,254 22,278 174,511 349,022 523,533 1,047,066

Collatz Trajectory (121 steps to reach 1)

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

1,047,066 523,533 1,570,600 785,300 392,650 196,325 588,976 294,488 147,244 73,622 36,811 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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