41,382,003

3 × 13 × 151 × 7027

41,382,003 factors as 3 × 13 × 151 × 7027. Its 16 positive divisors give a proper-divisor sum of 18,440,333, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 3 × 13 × 151 × 7027

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,822,336

Proper Divisor Sum 18,440,333

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #41381987 ← → #41382013

Radix Representation

Decimal	41382003
Binary	10011101110111000001110011 (26 bits)
Octal	0o235670163
Hexadecimal	0x2777073

Divisor Catalog (16)

1 3 13 39 151 453 1,963 5,889 7,027 21,081 91,351 274,053 1,061,077 3,183,231 13,794,001 41,382,003

Collatz Trajectory (222 steps to reach 1)

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

41,382,003 124,146,010 62,073,005 186,219,016 93,109,508 46,554,754 23,277,377 69,832,132 34,916,066 17,458,033 52,374,100 26,187,050 13,093,525 39,280,576 19,640,288 9,820,144 4,910,072 2,455,036 1,227,518 613,759 1,841,278 920,639 2,761,918 1,380,959 4,142,878 2,071,439 6,214,318 3,107,159 9,321,478 4,660,739 13,982,218 6,991,109 20,973,328 10,486,664 5,243,332 2,621,666 1,310,833 3,932,500 1,966,250 983,125 2,949,376 1,474,688 737,344 368,672 184,336 92,168 46,084 23,042 11,521 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292

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