3,002,145

3 × 5 × 263 × 761

For 3,002,145, the 16 positive divisors have a total of 4,828,032. Removing 3,002,145 leaves 1,825,887, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 263 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,828,032

Proper Divisor Sum 1,825,887

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3002123 ← → #3002147

Radix Representation

Decimal	3002145
Binary	1011011100111100100001 (22 bits)
Octal	0o13347441
Hexadecimal	0x2DCF21

Divisor Catalog (16)

1 3 5 15 263 761 789 1,315 2,283 3,805 3,945 11,415 200,143 600,429 1,000,715 3,002,145

Collatz Trajectory (94 steps to reach 1)

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

3,002,145 9,006,436 4,503,218 2,251,609 6,754,828 3,377,414 1,688,707 5,066,122 2,533,061 7,599,184 3,799,592 1,899,796 949,898 474,949 1,424,848 712,424 356,212 178,106 89,053 267,160 133,580 66,790 33,395 100,186 50,093 150,280 75,140 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045

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