8,453,112

2³ × 3 × 43 × 8191

Starting at 8,453,112, the Collatz iteration reaches 1 after 181 steps. The first transition is 4226556; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 43 × 8191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,626,880

Proper Divisor Sum 13,173,768

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8453099 ← → #8453113

Radix Representation

Decimal	8453112
Binary	100000001111101111111000 (24 bits)
Octal	0o40175770
Hexadecimal	0x80FBF8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1,032 8,191 16,382 24,573 32,764 49,146 65,528 98,292 196,584 352,213 704,426 1,056,639 1,408,852 2,113,278 2,817,704 4,226,556 8,453,112

Collatz Trajectory (181 steps to reach 1)

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

8,453,112 4,226,556 2,113,278 1,056,639 3,169,918 1,584,959 4,754,878 2,377,439 7,132,318 3,566,159 10,698,478 5,349,239 16,047,718 8,023,859 24,071,578 12,035,789 36,107,368 18,053,684 9,026,842 4,513,421 13,540,264 6,770,132 3,385,066 1,692,533 5,077,600 2,538,800 1,269,400 634,700 317,350 158,675 476,026 238,013 714,040 357,020 178,510 89,255 267,766 133,883 401,650 200,825 602,476 301,238 150,619 451,858 225,929 677,788 338,894 169,447 508,342 254,171 762,514 381,257 1,143,772 571,886 285,943 857,830 428,915 1,286,746 643,373 1,930,120

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