λ
Harmonic Matrix

9,266,307

3 × 107 × 28867
Deficient Odd Composite

9,266,307 has digital root 6. The neighboring primes are 9266291 and 9266311; its proper-divisor sum differs from the starting integer by -6,061,638.

Prime Factor Structure

Factorization String 3 × 107 × 28867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,470,976
Proper Divisor Sum 3,204,669
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9266291 ← → #9266311

Radix Representation

Decimal 9266307
Binary 100011010110010010000011 (24 bits)
Octal 0o43262203
Hexadecimal 0x8D6483

Divisor Catalog (8)

1 3 107 321 28,867 86,601 3,088,769 9,266,307

Collatz Trajectory (212 steps to reach 1)

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

9,266,307 27,798,922 13,899,461 41,698,384 20,849,192 10,424,596 5,212,298 2,606,149 7,818,448 3,909,224 1,954,612 977,306 488,653 1,465,960 732,980 366,490 183,245 549,736 274,868 137,434 68,717 206,152 103,076 51,538 25,769 77,308 38,654 19,327 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542 146,771 440,314 220,157 660,472 330,236 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922

More profiles

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