3,742,192

2⁴ × 23 × 10169

3,742,192 is even and not a perfect square. Its factorization is 2^4 × 23 × 10169 and its 20 divisors sum to 7,566,480.

Prime Factor Structure

Factorization String 2^4 × 23 × 10169

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,566,480

Proper Divisor Sum 3,824,288

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3742139 ← → #3742201

Radix Representation

Decimal	3742192
Binary	1110010001100111110000 (22 bits)
Octal	0o16214760
Hexadecimal	0x3919F0

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 10,169 20,338 40,676 81,352 162,704 233,887 467,774 935,548 1,871,096 3,742,192

Collatz Trajectory (203 steps to reach 1)

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

3,742,192 1,871,096 935,548 467,774 233,887 701,662 350,831 1,052,494 526,247 1,578,742 789,371 2,368,114 1,184,057 3,552,172 1,776,086 888,043 2,664,130 1,332,065 3,996,196 1,998,098 999,049 2,997,148 1,498,574 749,287 2,247,862 1,123,931 3,371,794 1,685,897 5,057,692 2,528,846 1,264,423 3,793,270 1,896,635 5,689,906 2,844,953 8,534,860 4,267,430 2,133,715 6,401,146 3,200,573 9,601,720 4,800,860 2,400,430 1,200,215 3,600,646 1,800,323 5,400,970 2,700,485 8,101,456 4,050,728 2,025,364 1,012,682 506,341 1,519,024 759,512 379,756 189,878 94,939 284,818 142,409

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