1,727,614

2 × 7 × 123401

1,727,614 factors as 2 × 7 × 123401. Its 8 positive divisors give a proper-divisor sum of 1,234,034, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2 × 7 × 123401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,961,648

Proper Divisor Sum 1,234,034

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1727597 ← → #1727623

Radix Representation

Decimal	1727614
Binary	110100101110001111110 (21 bits)
Octal	0o6456176
Hexadecimal	0x1A5C7E

Divisor Catalog (8)

1 2 7 14 123,401 246,802 863,807 1,727,614

Collatz Trajectory (220 steps to reach 1)

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

1,727,614 863,807 2,591,422 1,295,711 3,887,134 1,943,567 5,830,702 2,915,351 8,746,054 4,373,027 13,119,082 6,559,541 19,678,624 9,839,312 4,919,656 2,459,828 1,229,914 614,957 1,844,872 922,436 461,218 230,609 691,828 345,914 172,957 518,872 259,436 129,718 64,859 194,578 97,289 291,868 145,934 72,967 218,902 109,451 328,354 164,177 492,532 246,266 123,133 369,400 184,700 92,350 46,175 138,526 69,263 207,790 103,895 311,686 155,843 467,530 233,765 701,296 350,648 175,324 87,662 43,831 131,494 65,747

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