λ
Harmonic Matrix

9,753,726

2 × 3 × 19 × 67 × 1277
Abundant Even Composite

9,753,726 has digital root 3. The neighboring primes are 9753721 and 9753739; its proper-divisor sum differs from the starting integer by 1,349,508.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 67 × 1277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,856,960
Proper Divisor Sum 11,103,234
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9753721 ← → #9753739

Radix Representation

Decimal 9753726
Binary 100101001101010001111110 (24 bits)
Octal 0o45152176
Hexadecimal 0x94D47E

Divisor Catalog (32)

1 2 3 6 19 38 57 67 114 134 201 402 1,273 1,277 2,546 2,554 3,819 3,831 7,638 7,662 24,263 48,526 72,789 85,559 145,578 171,118 256,677 513,354 1,625,621 3,251,242 4,876,863 9,753,726

Collatz Trajectory (150 steps to reach 1)

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

9,753,726 4,876,863 14,630,590 7,315,295 21,945,886 10,972,943 32,918,830 16,459,415 49,378,246 24,689,123 74,067,370 37,033,685 111,101,056 55,550,528 27,775,264 13,887,632 6,943,816 3,471,908 1,735,954 867,977 2,603,932 1,301,966 650,983 1,952,950 976,475 2,929,426 1,464,713 4,394,140 2,197,070 1,098,535 3,295,606 1,647,803 4,943,410 2,471,705 7,415,116 3,707,558 1,853,779 5,561,338 2,780,669 8,342,008 4,171,004 2,085,502 1,042,751 3,128,254 1,564,127 4,692,382 2,346,191 7,038,574 3,519,287 10,557,862 5,278,931 15,836,794 7,918,397 23,755,192 11,877,596 5,938,798 2,969,399 8,908,198 4,454,099 13,362,298

More profiles

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