λ
Harmonic Matrix

9,366,273

34 × 7 × 16519
Deficient Odd Composite

9,366,273 has digital root 9. The neighboring primes are 9366257 and 9366277; its proper-divisor sum differs from the starting integer by -2,741,186.

Prime Factor Structure

Factorization String 3^4 × 7 × 16519
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,991,360
Proper Divisor Sum 6,625,087
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9366257 ← → #9366277

Radix Representation

Decimal 9366273
Binary 100011101110101100000001 (24 bits)
Octal 0o43565401
Hexadecimal 0x8EEB01

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 16,519 49,557 115,633 148,671 346,899 446,013 1,040,697 1,338,039 3,122,091 9,366,273

Collatz Trajectory (207 steps to reach 1)

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

9,366,273 28,098,820 14,049,410 7,024,705 21,074,116 10,537,058 5,268,529 15,805,588 7,902,794 3,951,397 11,854,192 5,927,096 2,963,548 1,481,774 740,887 2,222,662 1,111,331 3,333,994 1,666,997 5,000,992 2,500,496 1,250,248 625,124 312,562 156,281 468,844 234,422 117,211 351,634 175,817 527,452 263,726 131,863 395,590 197,795 593,386 296,693 890,080 445,040 222,520 111,260 55,630 27,815 83,446 41,723 125,170 62,585 187,756 93,878 46,939 140,818 70,409 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452

More profiles

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