λ
Harmonic Matrix

8,443,682

2 × 13 × 324757
Deficient Even Composite

8,443,682 has digital root 8. The neighboring primes are 8443651 and 8443703; its proper-divisor sum differs from the starting integer by -3,247,528.

Prime Factor Structure

Factorization String 2 × 13 × 324757
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,639,836
Proper Divisor Sum 5,196,154
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8443651 ← → #8443703

Radix Representation

Decimal 8443682
Binary 100000001101011100100010 (24 bits)
Octal 0o40153442
Hexadecimal 0x80D722

Divisor Catalog (8)

1 2 13 26 324,757 649,514 4,221,841 8,443,682

Collatz Trajectory (75 steps to reach 1)

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

8,443,682 4,221,841 12,665,524 6,332,762 3,166,381 9,499,144 4,749,572 2,374,786 1,187,393 3,562,180 1,781,090 890,545 2,671,636 1,335,818 667,909 2,003,728 1,001,864 500,932 250,466 125,233 375,700 187,850 93,925 281,776 140,888 70,444 35,222 17,611 52,834 26,417 79,252 39,626 19,813 59,440 29,720 14,860 7,430 3,715 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7

More profiles

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