λ
Harmonic Matrix

7,187,122

2 × 727 × 4943
Deficient Even Composite

7,187,122 has digital root 1. The neighboring primes are 7187119 and 7187129; its proper-divisor sum differs from the starting integer by -3,576,548.

Prime Factor Structure

Factorization String 2 × 727 × 4943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,797,696
Proper Divisor Sum 3,610,574
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7187119 ← → #7187129

Radix Representation

Decimal 7187122
Binary 11011011010101010110010 (23 bits)
Octal 0o33325262
Hexadecimal 0x6DAAB2

Divisor Catalog (8)

1 2 727 1,454 4,943 9,886 3,593,561 7,187,122

Collatz Trajectory (116 steps to reach 1)

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

7,187,122 3,593,561 10,780,684 5,390,342 2,695,171 8,085,514 4,042,757 12,128,272 6,064,136 3,032,068 1,516,034 758,017 2,274,052 1,137,026 568,513 1,705,540 852,770 426,385 1,279,156 639,578 319,789 959,368 479,684 239,842 119,921 359,764 179,882 89,941 269,824 134,912 67,456 33,728 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276

More profiles

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