λ
Harmonic Matrix

9,661,687

7 × 1380241
Deficient Odd Composite

9,661,687 has digital root 7. The neighboring primes are 9661681 and 9661693; its proper-divisor sum differs from the starting integer by -8,281,438.

Prime Factor Structure

Factorization String 7 × 1380241
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,041,936
Proper Divisor Sum 1,380,249
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9661681 ← → #9661693

Radix Representation

Decimal 9661687
Binary 100100110110110011110111 (24 bits)
Octal 0o44666367
Hexadecimal 0x936CF7

Divisor Catalog (4)

1 7 1,380,241 9,661,687

Collatz Trajectory (163 steps to reach 1)

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

9,661,687 28,985,062 14,492,531 43,477,594 21,738,797 65,216,392 32,608,196 16,304,098 8,152,049 24,456,148 12,228,074 6,114,037 18,342,112 9,171,056 4,585,528 2,292,764 1,146,382 573,191 1,719,574 859,787 2,579,362 1,289,681 3,869,044 1,934,522 967,261 2,901,784 1,450,892 725,446 362,723 1,088,170 544,085 1,632,256 816,128 408,064 204,032 102,016 51,008 25,504 12,752 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

More profiles

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