λ
Harmonic Matrix

6,091,560

23 × 32 × 5 × 16921
Abundant Even Composite

6,091,560 has digital root 9. The neighboring primes are 6091541 and 6091597; its proper-divisor sum differs from the starting integer by 7,615,620.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 16921
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,798,740
Proper Divisor Sum 13,707,180
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6091541 ← → #6091597

Radix Representation

Decimal 6091560
Binary 10111001111001100101000 (23 bits)
Octal 0o27171450
Hexadecimal 0x5CF328

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 16,921 33,842 50,763 67,684 84,605 101,526 135,368 152,289 169,210 203,052 253,815 304,578 338,420 406,104 507,630 609,156 676,840 761,445 1,015,260 1,218,312 1,522,890 2,030,520 3,045,780 6,091,560

Collatz Trajectory (82 steps to reach 1)

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

6,091,560 3,045,780 1,522,890 761,445 2,284,336 1,142,168 571,084 285,542 142,771 428,314 214,157 642,472 321,236 160,618 80,309 240,928 120,464 60,232 30,116 15,058 7,529 22,588 11,294 5,647 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075

More profiles

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