3,742,474

2 × 619 × 3023

Starting at 3,742,474, the Collatz iteration reaches 1 after 133 steps. The first transition is 1871237; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 619 × 3023

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,624,640

Proper Divisor Sum 1,882,166

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3742457 ← → #3742477

Radix Representation

Decimal	3742474
Binary	1110010001101100001010 (22 bits)
Octal	0o16215412
Hexadecimal	0x391B0A

Divisor Catalog (8)

1 2 619 1,238 3,023 6,046 1,871,237 3,742,474

Collatz Trajectory (133 steps to reach 1)

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

3,742,474 1,871,237 5,613,712 2,806,856 1,403,428 701,714 350,857 1,052,572 526,286 263,143 789,430 394,715 1,184,146 592,073 1,776,220 888,110 444,055 1,332,166 666,083 1,998,250 999,125 2,997,376 1,498,688 749,344 374,672 187,336 93,668 46,834 23,417 70,252 35,126 17,563 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438

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