17,826,340

2² × 5 × 7 × 127331

17,826,340 factors as 2^2 × 5 × 7 × 127331. Its 24 positive divisors give a proper-divisor sum of 24,957,212, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 127331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 42,783,552

Proper Divisor Sum 24,957,212

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #17826331 ← → #17826371

Radix Representation

Decimal	17826340
Binary	1000100000000001000100100 (25 bits)
Octal	0o104001044
Hexadecimal	0x1100224

Divisor Catalog (24)

Collatz Trajectory (195 steps to reach 1)

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

17,826,340 8,913,170 4,456,585 13,369,756 6,684,878 3,342,439 10,027,318 5,013,659 15,040,978 7,520,489 22,561,468 11,280,734 5,640,367 16,921,102 8,460,551 25,381,654 12,690,827 38,072,482 19,036,241 57,108,724 28,554,362 14,277,181 42,831,544 21,415,772 10,707,886 5,353,943 16,061,830 8,030,915 24,092,746 12,046,373 36,139,120 18,069,560 9,034,780 4,517,390 2,258,695 6,776,086 3,388,043 10,164,130 5,082,065 15,246,196 7,623,098 3,811,549 11,434,648 5,717,324 2,858,662 1,429,331 4,287,994 2,143,997 6,431,992 3,215,996 1,607,998 803,999 2,411,998 1,205,999 3,617,998 1,808,999 5,426,998 2,713,499 8,140,498 4,070,249

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