417,055

5 × 239 × 349

417,055 factors as 5 × 239 × 349. Its 8 positive divisors give a proper-divisor sum of 86,945, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 5 × 239 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 504,000

Proper Divisor Sum 86,945

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #417037 ← → #417089

Radix Representation

Decimal	417055
Binary	1100101110100011111 (19 bits)
Octal	0o1456437
Hexadecimal	0x65D1F

Divisor Catalog (8)

1 5 239 349 1,195 1,745 83,411 417,055

Collatz Trajectory (112 steps to reach 1)

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

417,055 1,251,166 625,583 1,876,750 938,375 2,815,126 1,407,563 4,222,690 2,111,345 6,334,036 3,167,018 1,583,509 4,750,528 2,375,264 1,187,632 593,816 296,908 148,454 74,227 222,682 111,341 334,024 167,012 83,506 41,753 125,260 62,630 31,315 93,946 46,973 140,920 70,460 35,230 17,615 52,846 26,423 79,270 39,635 118,906 59,453 178,360 89,180 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875

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