6,787,542

2 × 3 × 251 × 4507

6,787,542 factors as 2 × 3 × 251 × 4507. Its 16 positive divisors give a proper-divisor sum of 6,844,650, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 3 × 251 × 4507

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,632,192

Proper Divisor Sum 6,844,650

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6787519 ← → #6787577

Radix Representation

Decimal	6787542
Binary	11001111001000111010110 (23 bits)
Octal	0o31710726
Hexadecimal	0x6791D6

Divisor Catalog (16)

1 2 3 6 251 502 753 1,506 4,507 9,014 13,521 27,042 1,131,257 2,262,514 3,393,771 6,787,542

Collatz Trajectory (178 steps to reach 1)

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

6,787,542 3,393,771 10,181,314 5,090,657 15,271,972 7,635,986 3,817,993 11,453,980 5,726,990 2,863,495 8,590,486 4,295,243 12,885,730 6,442,865 19,328,596 9,664,298 4,832,149 14,496,448 7,248,224 3,624,112 1,812,056 906,028 453,014 226,507 679,522 339,761 1,019,284 509,642 254,821 764,464 382,232 191,116 95,558 47,779 143,338 71,669 215,008 107,504 53,752 26,876 13,438 6,719 20,158 10,079 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196

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