6,729,768

2³ × 3² × 151 × 619

6,729,768 factors as 2^3 × 3^2 × 151 × 619. Its 48 positive divisors give a proper-divisor sum of 11,647,032, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 151 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,376,800

Proper Divisor Sum 11,647,032

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6729727 ← → #6729787

Radix Representation

Decimal	6729768
Binary	11001101011000000101000 (23 bits)
Octal	0o31530050
Hexadecimal	0x66B028

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 619 906 1,208 1,238 1,359 1,812 1,857 2,476 2,718 3,624 3,714 4,952 5,436 5,571 7,428 10,872 11,142 14,856 22,284 44,568 93,469 186,938 280,407 373,876 560,814 747,752 841,221 1,121,628 1,682,442 2,243,256 3,364,884 6,729,768

Collatz Trajectory (116 steps to reach 1)

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

6,729,768 3,364,884 1,682,442 841,221 2,523,664 1,261,832 630,916 315,458 157,729 473,188 236,594 118,297 354,892 177,446 88,723 266,170 133,085 399,256 199,628 99,814 49,907 149,722 74,861 224,584 112,292 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840 119,920 59,960 29,980 14,990 7,495 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694

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