6,727,414

2 × 37 × 90911

6,727,414 factors as 2 × 37 × 90911. Its 8 positive divisors give a proper-divisor sum of 3,636,554, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2 × 37 × 90911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,363,968

Proper Divisor Sum 3,636,554

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6727397 ← → #6727417

Radix Representation

Decimal	6727414
Binary	11001101010011011110110 (23 bits)
Octal	0o31523366
Hexadecimal	0x66A6F6

Divisor Catalog (8)

1 2 37 74 90,911 181,822 3,363,707 6,727,414

Collatz Trajectory (209 steps to reach 1)

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

6,727,414 3,363,707 10,091,122 5,045,561 15,136,684 7,568,342 3,784,171 11,352,514 5,676,257 17,028,772 8,514,386 4,257,193 12,771,580 6,385,790 3,192,895 9,578,686 4,789,343 14,368,030 7,184,015 21,552,046 10,776,023 32,328,070 16,164,035 48,492,106 24,246,053 72,738,160 36,369,080 18,184,540 9,092,270 4,546,135 13,638,406 6,819,203 20,457,610 10,228,805 30,686,416 15,343,208 7,671,604 3,835,802 1,917,901 5,753,704 2,876,852 1,438,426 719,213 2,157,640 1,078,820 539,410 269,705 809,116 404,558 202,279 606,838 303,419 910,258 455,129 1,365,388 682,694 341,347 1,024,042 512,021 1,536,064

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