526,858

2 × 263429

Starting at 526,858, the Collatz iteration reaches 1 after 120 steps. The first transition is 263429; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 263429

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 790,290

Proper Divisor Sum 263,432

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #526853 ← → #526859

Radix Representation

Decimal	526858
Binary	10000000101000001010 (20 bits)
Octal	0o2005012
Hexadecimal	0x80A0A

Divisor Catalog (4)

1 2 263,429 526,858

Collatz Trajectory (120 steps to reach 1)

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

526,858 263,429 790,288 395,144 197,572 98,786 49,393 148,180 74,090 37,045 111,136 55,568 27,784 13,892 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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