λ
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4,153,784

23 × 712 × 103
Deficient Even Composite

4,153,784 factors as 2^3 × 71^2 × 103. Its 24 positive divisors give a proper-divisor sum of 3,822,496, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^3 × 71^2 × 103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,976,280
Proper Divisor Sum 3,822,496
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4153771 ← → #4153817

Radix Representation

Decimal 4153784
Binary 1111110110000110111000 (22 bits)
Octal 0o17660670
Hexadecimal 0x3F61B8

Divisor Catalog (24)

1 2 4 8 71 103 142 206 284 412 568 824 5,041 7,313 10,082 14,626 20,164 29,252 40,328 58,504 519,223 1,038,446 2,076,892 4,153,784

Collatz Trajectory (229 steps to reach 1)

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

4,153,784 2,076,892 1,038,446 519,223 1,557,670 778,835 2,336,506 1,168,253 3,504,760 1,752,380 876,190 438,095 1,314,286 657,143 1,971,430 985,715 2,957,146 1,478,573 4,435,720 2,217,860 1,108,930 554,465 1,663,396 831,698 415,849 1,247,548 623,774 311,887 935,662 467,831 1,403,494 701,747 2,105,242 1,052,621 3,157,864 1,578,932 789,466 394,733 1,184,200 592,100 296,050 148,025 444,076 222,038 111,019 333,058 166,529 499,588 249,794 124,897 374,692 187,346 93,673 281,020 140,510 70,255 210,766 105,383 316,150 158,075

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