4,057,472

2⁷ × 31699

Starting at 4,057,472, the Collatz iteration reaches 1 after 66 steps. The first transition is 2028736; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 31699

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,083,500

Proper Divisor Sum 4,026,028

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4057451 ← → #4057511

Radix Representation

Decimal	4057472
Binary	1111011110100110000000 (22 bits)
Octal	0o17364600
Hexadecimal	0x3DE980

Divisor Catalog (16)

1 2 4 8 16 32 64 128 31,699 63,398 126,796 253,592 507,184 1,014,368 2,028,736 4,057,472

Collatz Trajectory (66 steps to reach 1)

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

4,057,472 2,028,736 1,014,368 507,184 253,592 126,796 63,398 31,699 95,098 47,549 142,648 71,324 35,662 17,831 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20

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