7,987,684

2² × 353 × 5657

7,987,684 factors as 2^2 × 353 × 5657. Its 12 positive divisors give a proper-divisor sum of 6,032,840, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 353 × 5657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,020,524

Proper Divisor Sum 6,032,840

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #7987669 ← → #7987687

Radix Representation

Decimal	7987684
Binary	11110011110000111100100 (23 bits)
Octal	0o36360744
Hexadecimal	0x79E1E4

Divisor Catalog (12)

1 2 4 353 706 1,412 5,657 11,314 22,628 1,996,921 3,993,842 7,987,684

Collatz Trajectory (116 steps to reach 1)

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

7,987,684 3,993,842 1,996,921 5,990,764 2,995,382 1,497,691 4,493,074 2,246,537 6,739,612 3,369,806 1,684,903 5,054,710 2,527,355 7,582,066 3,791,033 11,373,100 5,686,550 2,843,275 8,529,826 4,264,913 12,794,740 6,397,370 3,198,685 9,596,056 4,798,028 2,399,014 1,199,507 3,598,522 1,799,261 5,397,784 2,698,892 1,349,446 674,723 2,024,170 1,012,085 3,036,256 1,518,128 759,064 379,532 189,766 94,883 284,650 142,325 426,976 213,488 106,744 53,372 26,686 13,343 40,030 20,015 60,046 30,023 90,070 45,035 135,106 67,553 202,660 101,330 50,665

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