4,272,746

2 × 17 × 125669

Starting at 4,272,746, the Collatz iteration reaches 1 after 74 steps. The first transition is 2136373; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 125669

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,786,180

Proper Divisor Sum 2,513,434

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4272743 ← → #4272767

Radix Representation

Decimal	4272746
Binary	10000010011001001101010 (23 bits)
Octal	0o20231152
Hexadecimal	0x41326A

Divisor Catalog (8)

1 2 17 34 125,669 251,338 2,136,373 4,272,746

Collatz Trajectory (74 steps to reach 1)

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

4,272,746 2,136,373 6,409,120 3,204,560 1,602,280 801,140 400,570 200,285 600,856 300,428 150,214 75,107 225,322 112,661 337,984 168,992 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

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