6,687,736

2³ × 11 × 75997

6,687,736 factors as 2^3 × 11 × 75997. Its 16 positive divisors give a proper-divisor sum of 6,991,904, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 75997

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,679,640

Proper Divisor Sum 6,991,904

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6687701 ← → #6687757

Radix Representation

Decimal	6687736
Binary	11001100000101111111000 (23 bits)
Octal	0o31405770
Hexadecimal	0x660BF8

Divisor Catalog (16)

1 2 4 8 11 22 44 88 75,997 151,994 303,988 607,976 835,967 1,671,934 3,343,868 6,687,736

Collatz Trajectory (160 steps to reach 1)

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

6,687,736 3,343,868 1,671,934 835,967 2,507,902 1,253,951 3,761,854 1,880,927 5,642,782 2,821,391 8,464,174 4,232,087 12,696,262 6,348,131 19,044,394 9,522,197 28,566,592 14,283,296 7,141,648 3,570,824 1,785,412 892,706 446,353 1,339,060 669,530 334,765 1,004,296 502,148 251,074 125,537 376,612 188,306 94,153 282,460 141,230 70,615 211,846 105,923 317,770 158,885 476,656 238,328 119,164 59,582 29,791 89,374 44,687 134,062 67,031 201,094 100,547 301,642 150,821 452,464 226,232 113,116 56,558 28,279 84,838 42,419

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