6,735,784

2³ × 11 × 76543

6,735,784 factors as 2^3 × 11 × 76543. Its 16 positive divisors give a proper-divisor sum of 7,042,136, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 76543

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,777,920

Proper Divisor Sum 7,042,136

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6735763 ← → #6735811

Radix Representation

Decimal	6735784
Binary	11001101100011110101000 (23 bits)
Octal	0o31543650
Hexadecimal	0x66C7A8

Divisor Catalog (16)

1 2 4 8 11 22 44 88 76,543 153,086 306,172 612,344 841,973 1,683,946 3,367,892 6,735,784

Collatz Trajectory (85 steps to reach 1)

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

6,735,784 3,367,892 1,683,946 841,973 2,525,920 1,262,960 631,480 315,740 157,870 78,935 236,806 118,403 355,210 177,605 532,816 266,408 133,204 66,602 33,301 99,904 49,952 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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