41,006,405

5 × 11 × 71 × 10501

41,006,405 factors as 5 × 11 × 71 × 10501. Its 16 positive divisors give a proper-divisor sum of 13,435,963, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 5 × 11 × 71 × 10501

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 54,442,368

Proper Divisor Sum 13,435,963

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #41006387 ← → #41006461

Radix Representation

Decimal	41006405
Binary	10011100011011010101000101 (26 bits)
Octal	0o234332505
Hexadecimal	0x271B545

Divisor Catalog (16)

1 5 11 55 71 355 781 3,905 10,501 52,505 115,511 577,555 745,571 3,727,855 8,201,281 41,006,405

Collatz Trajectory (253 steps to reach 1)

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

41,006,405 123,019,216 61,509,608 30,754,804 15,377,402 7,688,701 23,066,104 11,533,052 5,766,526 2,883,263 8,649,790 4,324,895 12,974,686 6,487,343 19,462,030 9,731,015 29,193,046 14,596,523 43,789,570 21,894,785 65,684,356 32,842,178 16,421,089 49,263,268 24,631,634 12,315,817 36,947,452 18,473,726 9,236,863 27,710,590 13,855,295 41,565,886 20,782,943 62,348,830 31,174,415 93,523,246 46,761,623 140,284,870 70,142,435 210,427,306 105,213,653 315,640,960 157,820,480 78,910,240 39,455,120 19,727,560 9,863,780 4,931,890 2,465,945 7,397,836 3,698,918 1,849,459 5,548,378 2,774,189 8,322,568 4,161,284 2,080,642 1,040,321 3,120,964 1,560,482

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