854,712

2³ × 3⁴ × 1319

Starting at 854,712, the Collatz iteration reaches 1 after 74 steps. The first transition is 427356; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 1319

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,395,800

Proper Divisor Sum 1,541,088

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #854683 ← → #854713

Radix Representation

Decimal	854712
Binary	11010000101010111000 (20 bits)
Octal	0o3205270
Hexadecimal	0xD0AB8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1,319 2,638 3,957 5,276 7,914 10,552 11,871 15,828 23,742 31,656 35,613 47,484 71,226 94,968 106,839 142,452 213,678 284,904 427,356 854,712

Collatz Trajectory (74 steps to reach 1)

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

854,712 427,356 213,678 106,839 320,518 160,259 480,778 240,389 721,168 360,584 180,292 90,146 45,073 135,220 67,610 33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151

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