6,765,598

2 × 7 × 37² × 353

6,765,598 factors as 2 × 7 × 37^2 × 353. Its 24 positive divisors give a proper-divisor sum of 5,188,274, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 7 × 37^2 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,953,872

Proper Divisor Sum 5,188,274

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #6765587 ← → #6765607

Radix Representation

Decimal	6765598
Binary	11001110011110000011110 (23 bits)
Octal	0o31636036
Hexadecimal	0x673C1E

Divisor Catalog (24)

Collatz Trajectory (160 steps to reach 1)

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

6,765,598 3,382,799 10,148,398 5,074,199 15,222,598 7,611,299 22,833,898 11,416,949 34,250,848 17,125,424 8,562,712 4,281,356 2,140,678 1,070,339 3,211,018 1,605,509 4,816,528 2,408,264 1,204,132 602,066 301,033 903,100 451,550 225,775 677,326 338,663 1,015,990 507,995 1,523,986 761,993 2,285,980 1,142,990 571,495 1,714,486 857,243 2,571,730 1,285,865 3,857,596 1,928,798 964,399 2,893,198 1,446,599 4,339,798 2,169,899 6,509,698 3,254,849 9,764,548 4,882,274 2,441,137 7,323,412 3,661,706 1,830,853 5,492,560 2,746,280 1,373,140 686,570 343,285 1,029,856 514,928 257,464

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