6,760,120

2³ × 5 × 169003

For 6,760,120, the 16 positive divisors have a total of 15,210,360. Removing 6,760,120 leaves 8,450,240, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 169003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,210,360

Proper Divisor Sum 8,450,240

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6760111 ← → #6760129

Radix Representation

Decimal	6760120
Binary	11001110010011010111000 (23 bits)
Octal	0o31623270
Hexadecimal	0x6726B8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 169,003 338,006 676,012 845,015 1,352,024 1,690,030 3,380,060 6,760,120

Collatz Trajectory (253 steps to reach 1)

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

6,760,120 3,380,060 1,690,030 845,015 2,535,046 1,267,523 3,802,570 1,901,285 5,703,856 2,851,928 1,425,964 712,982 356,491 1,069,474 534,737 1,604,212 802,106 401,053 1,203,160 601,580 300,790 150,395 451,186 225,593 676,780 338,390 169,195 507,586 253,793 761,380 380,690 190,345 571,036 285,518 142,759 428,278 214,139 642,418 321,209 963,628 481,814 240,907 722,722 361,361 1,084,084 542,042 271,021 813,064 406,532 203,266 101,633 304,900 152,450 76,225 228,676 114,338 57,169 171,508 85,754 42,877

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