3,768,136

2³ × 23 × 20479

3,768,136 factors as 2^3 × 23 × 20479. Its 16 positive divisors give a proper-divisor sum of 3,604,664, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 20479

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,372,800

Proper Divisor Sum 3,604,664

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3768119 ← → #3768139

Radix Representation

Decimal	3768136
Binary	1110010111111101001000 (22 bits)
Octal	0o16277510
Hexadecimal	0x397F48

Divisor Catalog (16)

1 2 4 8 23 46 92 184 20,479 40,958 81,916 163,832 471,017 942,034 1,884,068 3,768,136

Collatz Trajectory (172 steps to reach 1)

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

3,768,136 1,884,068 942,034 471,017 1,413,052 706,526 353,263 1,059,790 529,895 1,589,686 794,843 2,384,530 1,192,265 3,576,796 1,788,398 894,199 2,682,598 1,341,299 4,023,898 2,011,949 6,035,848 3,017,924 1,508,962 754,481 2,263,444 1,131,722 565,861 1,697,584 848,792 424,396 212,198 106,099 318,298 159,149 477,448 238,724 119,362 59,681 179,044 89,522 44,761 134,284 67,142 33,571 100,714 50,357 151,072 75,536 37,768 18,884 9,442 4,721 14,164 7,082 3,541 10,624 5,312 2,656 1,328 664

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