λ
Harmonic Matrix

8,499,738

2 × 3 × 13 × 108971
Abundant Even Composite

8,499,738 has digital root 3. The neighboring primes are 8499731 and 8499739; its proper-divisor sum differs from the starting integer by 1,307,820.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 108971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,307,296
Proper Divisor Sum 9,807,558
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8499731 ← → #8499739

Radix Representation

Decimal 8499738
Binary 100000011011001000011010 (24 bits)
Octal 0o40331032
Hexadecimal 0x81B21A

Divisor Catalog (16)

1 2 3 6 13 26 39 78 108,971 217,942 326,913 653,826 1,416,623 2,833,246 4,249,869 8,499,738

Collatz Trajectory (49 steps to reach 1)

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

8,499,738 4,249,869 12,749,608 6,374,804 3,187,402 1,593,701 4,781,104 2,390,552 1,195,276 597,638 298,819 896,458 448,229 1,344,688 672,344 336,172 168,086 84,043 252,130 126,065 378,196 189,098 94,549 283,648 141,824 70,912 35,456 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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