7,812,762

2 × 3 × 19² × 3607

7,812,762 factors as 2 × 3 × 19^2 × 3607. Its 24 positive divisors give a proper-divisor sum of 8,683,014, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19^2 × 3607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,495,776

Proper Divisor Sum 8,683,014

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7812733 ← → #7812767

Radix Representation

Decimal	7812762
Binary	11101110011011010011010 (23 bits)
Octal	0o35633232
Hexadecimal	0x77369A

Divisor Catalog (24)

1 2 3 6 19 38 57 114 361 722 1,083 2,166 3,607 7,214 10,821 21,642 68,533 137,066 205,599 411,198 1,302,127 2,604,254 3,906,381 7,812,762

Collatz Trajectory (230 steps to reach 1)

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

7,812,762 3,906,381 11,719,144 5,859,572 2,929,786 1,464,893 4,394,680 2,197,340 1,098,670 549,335 1,648,006 824,003 2,472,010 1,236,005 3,708,016 1,854,008 927,004 463,502 231,751 695,254 347,627 1,042,882 521,441 1,564,324 782,162 391,081 1,173,244 586,622 293,311 879,934 439,967 1,319,902 659,951 1,979,854 989,927 2,969,782 1,484,891 4,454,674 2,227,337 6,682,012 3,341,006 1,670,503 5,011,510 2,505,755 7,517,266 3,758,633 11,275,900 5,637,950 2,818,975 8,456,926 4,228,463 12,685,390 6,342,695 19,028,086 9,514,043 28,542,130 14,271,065 42,813,196 21,406,598 10,703,299

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