4,538,674

2 × 7² × 29 × 1597

Starting at 4,538,674, the Collatz iteration reaches 1 after 224 steps. The first transition is 2269337; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 29 × 1597

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,197,740

Proper Divisor Sum 3,659,066

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4538671 ← → #4538687

Radix Representation

Decimal	4538674
Binary	10001010100000100110010 (23 bits)
Octal	0o21240462
Hexadecimal	0x454132

Divisor Catalog (24)

1 2 7 14 29 49 58 98 203 406 1,421 1,597 2,842 3,194 11,179 22,358 46,313 78,253 92,626 156,506 324,191 648,382 2,269,337 4,538,674

Collatz Trajectory (224 steps to reach 1)

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

4,538,674 2,269,337 6,808,012 3,404,006 1,702,003 5,106,010 2,553,005 7,659,016 3,829,508 1,914,754 957,377 2,872,132 1,436,066 718,033 2,154,100 1,077,050 538,525 1,615,576 807,788 403,894 201,947 605,842 302,921 908,764 454,382 227,191 681,574 340,787 1,022,362 511,181 1,533,544 766,772 383,386 191,693 575,080 287,540 143,770 71,885 215,656 107,828 53,914 26,957 80,872 40,436 20,218 10,109 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799

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