3,742,672

2⁴ × 233917

Starting at 3,742,672, the Collatz iteration reaches 1 after 203 steps. The first transition is 1871336; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 233917

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,251,458

Proper Divisor Sum 3,508,786

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3742667 ← → #3742681

Radix Representation

Decimal	3742672
Binary	1110010001101111010000 (22 bits)
Octal	0o16215720
Hexadecimal	0x391BD0

Divisor Catalog (10)

1 2 4 8 16 233,917 467,834 935,668 1,871,336 3,742,672

Collatz Trajectory (203 steps to reach 1)

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

3,742,672 1,871,336 935,668 467,834 233,917 701,752 350,876 175,438 87,719 263,158 131,579 394,738 197,369 592,108 296,054 148,027 444,082 222,041 666,124 333,062 166,531 499,594 249,797 749,392 374,696 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959

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