λ
Harmonic Matrix

9,168,289

13 × 73 × 9661
Deficient Odd Composite

9,168,289 has digital root 7. The neighboring primes are 9168259 and 9168293; its proper-divisor sum differs from the starting integer by -8,326,746.

Prime Factor Structure

Factorization String 13 × 73 × 9661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,009,832
Proper Divisor Sum 841,543
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9168259 ← → #9168293

Radix Representation

Decimal 9168289
Binary 100010111110010110100001 (24 bits)
Octal 0o42762641
Hexadecimal 0x8BE5A1

Divisor Catalog (8)

1 13 73 949 9,661 125,593 705,253 9,168,289

Collatz Trajectory (212 steps to reach 1)

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

9,168,289 27,504,868 13,752,434 6,876,217 20,628,652 10,314,326 5,157,163 15,471,490 7,735,745 23,207,236 11,603,618 5,801,809 17,405,428 8,702,714 4,351,357 13,054,072 6,527,036 3,263,518 1,631,759 4,895,278 2,447,639 7,342,918 3,671,459 11,014,378 5,507,189 16,521,568 8,260,784 4,130,392 2,065,196 1,032,598 516,299 1,548,898 774,449 2,323,348 1,161,674 580,837 1,742,512 871,256 435,628 217,814 108,907 326,722 163,361 490,084 245,042 122,521 367,564 183,782 91,891 275,674 137,837 413,512 206,756 103,378 51,689 155,068 77,534 38,767 116,302 58,151

More profiles

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