41,002,290

2 × 3² × 5 × 7 × 37 × 1759

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 37 × 1759

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 125,199,360

Proper Divisor Sum 84,197,070

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #41002289 ← → #41002301

Radix Representation

Decimal	41002290
Binary	10011100011010010100110010 (26 bits)
Octal	0o234322462
Hexadecimal	0x271A532

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1,110 1,295 1,554 1,665 1,759 2,331 2,590 3,330 3,518 3,885 4,662 5,277 7,770 8,795 10,554 11,655 12,313 15,831 17,590 23,310 24,626 26,385 31,662 36,939

Collatz Trajectory (222 steps to reach 1)

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

41,002,290 20,501,145 61,503,436 30,751,718 15,375,859 46,127,578 23,063,789 69,191,368 34,595,684 17,297,842 8,648,921 25,946,764 12,973,382 6,486,691 19,460,074 9,730,037 29,190,112 14,595,056 7,297,528 3,648,764 1,824,382 912,191 2,736,574 1,368,287 4,104,862 2,052,431 6,157,294 3,078,647 9,235,942 4,617,971 13,853,914 6,926,957 20,780,872 10,390,436 5,195,218 2,597,609 7,792,828 3,896,414 1,948,207 5,844,622 2,922,311 8,766,934 4,383,467 13,150,402 6,575,201 19,725,604 9,862,802 4,931,401 14,794,204 7,397,102 3,698,551 11,095,654 5,547,827 16,643,482 8,321,741 24,965,224 12,482,612 6,241,306 3,120,653 9,361,960

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