λ
Harmonic Matrix

932,442

2 × 3 × 7 × 1492
Abundant Even Composite

932,442 has digital root 6. The neighboring primes are 932441 and 932447; its proper-divisor sum differs from the starting integer by 280,812.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 149^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,145,696
Proper Divisor Sum 1,213,254
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #932441 ← → #932447

Radix Representation

Decimal 932442
Binary 11100011101001011010 (20 bits)
Octal 0o3435132
Hexadecimal 0xE3A5A

Divisor Catalog (24)

1 2 3 6 7 14 21 42 149 298 447 894 1,043 2,086 3,129 6,258 22,201 44,402 66,603 133,206 155,407 310,814 466,221 932,442

Collatz Trajectory (126 steps to reach 1)

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

932,442 466,221 1,398,664 699,332 349,666 174,833 524,500 262,250 131,125 393,376 196,688 98,344 49,172 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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