41,003,703

3² × 13 × 350459

41,003,703 factors as 3^2 × 13 × 350459. Its 12 positive divisors give a proper-divisor sum of 22,780,017, so this integer is deficient. The Collatz stopping time is 359 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 350459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 63,783,720

Proper Divisor Sum 22,780,017

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #41003681 ← → #41003717

Radix Representation

Decimal	41003703
Binary	10011100011010101010110111 (26 bits)
Octal	0o234325267
Hexadecimal	0x271AAB7

Divisor Catalog (12)

1 3 9 13 39 117 350,459 1,051,377 3,154,131 4,555,967 13,667,901 41,003,703

Collatz Trajectory (359 steps to reach 1)

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

41,003,703 123,011,110 61,505,555 184,516,666 92,258,333 276,775,000 138,387,500 69,193,750 34,596,875 103,790,626 51,895,313 155,685,940 77,842,970 38,921,485 116,764,456 58,382,228 29,191,114 14,595,557 43,786,672 21,893,336 10,946,668 5,473,334 2,736,667 8,210,002 4,105,001 12,315,004 6,157,502 3,078,751 9,236,254 4,618,127 13,854,382 6,927,191 20,781,574 10,390,787 31,172,362 15,586,181 46,758,544 23,379,272 11,689,636 5,844,818 2,922,409 8,767,228 4,383,614 2,191,807 6,575,422 3,287,711 9,863,134 4,931,567 14,794,702 7,397,351 22,192,054 11,096,027 33,288,082 16,644,041 49,932,124 24,966,062 12,483,031 37,449,094 18,724,547 56,173,642

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