λ
Harmonic Matrix

9,173,946

2 × 3 × 739 × 2069
Abundant Even Composite

9,173,946 has digital root 3. The neighboring primes are 9173917 and 9173951; its proper-divisor sum differs from the starting integer by 33,708.

Prime Factor Structure

Factorization String 2 × 3 × 739 × 2069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,381,600
Proper Divisor Sum 9,207,654
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9173917 ← → #9173951

Radix Representation

Decimal 9173946
Binary 100010111111101110111010 (24 bits)
Octal 0o42775672
Hexadecimal 0x8BFBBA

Divisor Catalog (16)

1 2 3 6 739 1,478 2,069 2,217 4,138 4,434 6,207 12,414 1,528,991 3,057,982 4,586,973 9,173,946

Collatz Trajectory (101 steps to reach 1)

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

9,173,946 4,586,973 13,760,920 6,880,460 3,440,230 1,720,115 5,160,346 2,580,173 7,740,520 3,870,260 1,935,130 967,565 2,902,696 1,451,348 725,674 362,837 1,088,512 544,256 272,128 136,064 68,032 34,016 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271

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