8,429,218

2 × 7 × 602087

Starting at 8,429,218, the Collatz iteration reaches 1 after 155 steps. The first transition is 4214609; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 602087

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,450,112

Proper Divisor Sum 6,020,894

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8429209 ← → #8429233

Radix Representation

Decimal	8429218
Binary	100000001001111010100010 (24 bits)
Octal	0o40117242
Hexadecimal	0x809EA2

Divisor Catalog (8)

1 2 7 14 602,087 1,204,174 4,214,609 8,429,218

Collatz Trajectory (155 steps to reach 1)

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

8,429,218 4,214,609 12,643,828 6,321,914 3,160,957 9,482,872 4,741,436 2,370,718 1,185,359 3,556,078 1,778,039 5,334,118 2,667,059 8,001,178 4,000,589 12,001,768 6,000,884 3,000,442 1,500,221 4,500,664 2,250,332 1,125,166 562,583 1,687,750 843,875 2,531,626 1,265,813 3,797,440 1,898,720 949,360 474,680 237,340 118,670 59,335 178,006 89,003 267,010 133,505 400,516 200,258 100,129 300,388 150,194 75,097 225,292 112,646 56,323 168,970 84,485 253,456 126,728 63,364 31,682 15,841 47,524 23,762 11,881 35,644 17,822 8,911

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