λ
Harmonic Matrix

394,674

2 × 3 × 7 × 9397
Abundant Even Composite

394,674 has digital root 6. The neighboring primes are 394673 and 394699; its proper-divisor sum differs from the starting integer by 112,860.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 9397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 902,208
Proper Divisor Sum 507,534
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #394673 ← → #394699

Radix Representation

Decimal 394674
Binary 1100000010110110010 (19 bits)
Octal 0o1402662
Hexadecimal 0x605B2

Divisor Catalog (16)

1 2 3 6 7 14 21 42 9,397 18,794 28,191 56,382 65,779 131,558 197,337 394,674

Collatz Trajectory (192 steps to reach 1)

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

394,674 197,337 592,012 296,006 148,003 444,010 222,005 666,016 333,008 166,504 83,252 41,626 20,813 62,440 31,220 15,610 7,805 23,416 11,708 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506

More profiles

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