4,572,534

2 × 3 × 37 × 43 × 479

Starting at 4,572,534, the Collatz iteration reaches 1 after 193 steps. The first transition is 2286267; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 43 × 479

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,630,720

Proper Divisor Sum 5,058,186

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4572527 ← → #4572551

Radix Representation

Decimal	4572534
Binary	10001011100010101110110 (23 bits)
Octal	0o21342566
Hexadecimal	0x45C576

Divisor Catalog (32)

1 2 3 6 37 43 74 86 111 129 222 258 479 958 1,437 1,591 2,874 3,182 4,773 9,546 17,723 20,597 35,446 41,194 53,169 61,791 106,338 123,582 762,089 1,524,178 2,286,267 4,572,534

Collatz Trajectory (193 steps to reach 1)

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

4,572,534 2,286,267 6,858,802 3,429,401 10,288,204 5,144,102 2,572,051 7,716,154 3,858,077 11,574,232 5,787,116 2,893,558 1,446,779 4,340,338 2,170,169 6,510,508 3,255,254 1,627,627 4,882,882 2,441,441 7,324,324 3,662,162 1,831,081 5,493,244 2,746,622 1,373,311 4,119,934 2,059,967 6,179,902 3,089,951 9,269,854 4,634,927 13,904,782 6,952,391 20,857,174 10,428,587 31,285,762 15,642,881 46,928,644 23,464,322 11,732,161 35,196,484 17,598,242 8,799,121 26,397,364 13,198,682 6,599,341 19,798,024 9,899,012 4,949,506 2,474,753 7,424,260 3,712,130 1,856,065 5,568,196 2,784,098 1,392,049 4,176,148 2,088,074 1,044,037

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