4,005,287

11 × 13 × 37 × 757

4,005,287 is odd and not a perfect square. Its factorization is 11 × 13 × 37 × 757 and its 16 divisors sum to 4,839,072.

Prime Factor Structure

Factorization String 11 × 13 × 37 × 757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,839,072

Proper Divisor Sum 833,785

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4005271 ← → #4005301

Radix Representation

Decimal	4005287
Binary	1111010001110110100111 (22 bits)
Octal	0o17216647
Hexadecimal	0x3D1DA7

Divisor Catalog (16)

1 11 13 37 143 407 481 757 5,291 8,327 9,841 28,009 108,251 308,099 364,117 4,005,287

Collatz Trajectory (115 steps to reach 1)

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

4,005,287 12,015,862 6,007,931 18,023,794 9,011,897 27,035,692 13,517,846 6,758,923 20,276,770 10,138,385 30,415,156 15,207,578 7,603,789 22,811,368 11,405,684 5,702,842 2,851,421 8,554,264 4,277,132 2,138,566 1,069,283 3,207,850 1,603,925 4,811,776 2,405,888 1,202,944 601,472 300,736 150,368 75,184 37,592 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414

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