λ
Harmonic Matrix

1,146,042

2 × 33 × 19 × 1117
Abundant Even Composite

1,146,042 has digital root 9. The neighboring primes are 1146037 and 1146043; its proper-divisor sum differs from the starting integer by 391,116.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,683,200
Proper Divisor Sum 1,537,158
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1146037 ← → #1146043

Radix Representation

Decimal 1146042
Binary 100010111110010111010 (21 bits)
Octal 0o4276272
Hexadecimal 0x117CBA

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 1,117 2,234 3,351 6,702 10,053 20,106 21,223 30,159 42,446 60,318 63,669 127,338 191,007 382,014 573,021 1,146,042

Collatz Trajectory (147 steps to reach 1)

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

1,146,042 573,021 1,719,064 859,532 429,766 214,883 644,650 322,325 966,976 483,488 241,744 120,872 60,436 30,218 15,109 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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