1,267,786

2 × 13 × 48761

1,267,786 factors as 2 × 13 × 48761. Its 8 positive divisors give a proper-divisor sum of 780,218, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 13 × 48761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,048,004

Proper Divisor Sum 780,218

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1267771 ← → #1267787

Radix Representation

Decimal	1267786
Binary	100110101100001001010 (21 bits)
Octal	0o4654112
Hexadecimal	0x13584A

Divisor Catalog (8)

1 2 13 26 48,761 97,522 633,893 1,267,786

Collatz Trajectory (129 steps to reach 1)

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

1,267,786 633,893 1,901,680 950,840 475,420 237,710 118,855 356,566 178,283 534,850 267,425 802,276 401,138 200,569 601,708 300,854 150,427 451,282 225,641 676,924 338,462 169,231 507,694 253,847 761,542 380,771 1,142,314 571,157 1,713,472 856,736 428,368 214,184 107,092 53,546 26,773 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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