7,797,142

2 × 61 × 79 × 809

7,797,142 factors as 2 × 61 × 79 × 809. Its 16 positive divisors give a proper-divisor sum of 4,255,658, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 61 × 79 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,052,800

Proper Divisor Sum 4,255,658

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7797137 ← → #7797157

Radix Representation

Decimal	7797142
Binary	11101101111100110010110 (23 bits)
Octal	0o35574626
Hexadecimal	0x76F996

Divisor Catalog (16)

1 2 61 79 122 158 809 1,618 4,819 9,638 49,349 63,911 98,698 127,822 3,898,571 7,797,142

Collatz Trajectory (155 steps to reach 1)

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

7,797,142 3,898,571 11,695,714 5,847,857 17,543,572 8,771,786 4,385,893 13,157,680 6,578,840 3,289,420 1,644,710 822,355 2,467,066 1,233,533 3,700,600 1,850,300 925,150 462,575 1,387,726 693,863 2,081,590 1,040,795 3,122,386 1,561,193 4,683,580 2,341,790 1,170,895 3,512,686 1,756,343 5,269,030 2,634,515 7,903,546 3,951,773 11,855,320 5,927,660 2,963,830 1,481,915 4,445,746 2,222,873 6,668,620 3,334,310 1,667,155 5,001,466 2,500,733 7,502,200 3,751,100 1,875,550 937,775 2,813,326 1,406,663 4,219,990 2,109,995 6,329,986 3,164,993 9,494,980 4,747,490 2,373,745 7,121,236 3,560,618 1,780,309

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