λ
Harmonic Matrix

9,208,737

32 × 181 × 5653
Deficient Odd Composite

9,208,737 has digital root 9. The neighboring primes are 9208733 and 9208739; its proper-divisor sum differs from the starting integer by -5,040,110.

Prime Factor Structure

Factorization String 3^2 × 181 × 5653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,377,364
Proper Divisor Sum 4,168,627
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9208733 ← → #9208739

Radix Representation

Decimal 9208737
Binary 100011001000001110100001 (24 bits)
Octal 0o43101641
Hexadecimal 0x8C83A1

Divisor Catalog (12)

1 3 9 181 543 1,629 5,653 16,959 50,877 1,023,193 3,069,579 9,208,737

Collatz Trajectory (194 steps to reach 1)

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

9,208,737 27,626,212 13,813,106 6,906,553 20,719,660 10,359,830 5,179,915 15,539,746 7,769,873 23,309,620 11,654,810 5,827,405 17,482,216 8,741,108 4,370,554 2,185,277 6,555,832 3,277,916 1,638,958 819,479 2,458,438 1,229,219 3,687,658 1,843,829 5,531,488 2,765,744 1,382,872 691,436 345,718 172,859 518,578 259,289 777,868 388,934 194,467 583,402 291,701 875,104 437,552 218,776 109,388 54,694 27,347 82,042 41,021 123,064 61,532 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736

More profiles

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