λ
Harmonic Matrix

6,169,608

23 × 34 × 9521
Abundant Even Composite

6,169,608 has digital root 9. The neighboring primes are 6169591 and 6169609; its proper-divisor sum differs from the starting integer by 4,943,214.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 9521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,282,430
Proper Divisor Sum 11,112,822
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6169591 ← → #6169609

Radix Representation

Decimal 6169608
Binary 10111100010010000001000 (23 bits)
Octal 0o27422010
Hexadecimal 0x5E2408

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 9,521 19,042 28,563 38,084 57,126 76,168 85,689 114,252 171,378 228,504 257,067 342,756 514,134 685,512 771,201 1,028,268 1,542,402 2,056,536 3,084,804 6,169,608

Collatz Trajectory (139 steps to reach 1)

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

6,169,608 3,084,804 1,542,402 771,201 2,313,604 1,156,802 578,401 1,735,204 867,602 433,801 1,301,404 650,702 325,351 976,054 488,027 1,464,082 732,041 2,196,124 1,098,062 549,031 1,647,094 823,547 2,470,642 1,235,321 3,705,964 1,852,982 926,491 2,779,474 1,389,737 4,169,212 2,084,606 1,042,303 3,126,910 1,563,455 4,690,366 2,345,183 7,035,550 3,517,775 10,553,326 5,276,663 15,829,990 7,914,995 23,744,986 11,872,493 35,617,480 17,808,740 8,904,370 4,452,185 13,356,556 6,678,278 3,339,139 10,017,418 5,008,709 15,026,128 7,513,064 3,756,532 1,878,266 939,133 2,817,400 1,408,700

More profiles

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