859,828

2² × 43 × 4999

Starting at 859,828, the Collatz iteration reaches 1 after 219 steps. The first transition is 429914; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 4999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,540,000

Proper Divisor Sum 680,172

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #859823 ← → #859841

Radix Representation

Decimal	859828
Binary	11010001111010110100 (20 bits)
Octal	0o3217264
Hexadecimal	0xD1EB4

Divisor Catalog (12)

1 2 4 43 86 172 4,999 9,998 19,996 214,957 429,914 859,828

Collatz Trajectory (219 steps to reach 1)

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

859,828 429,914 214,957 644,872 322,436 161,218 80,609 241,828 120,914 60,457 181,372 90,686 45,343 136,030 68,015 204,046 102,023 306,070 153,035 459,106 229,553 688,660 344,330 172,165 516,496 258,248 129,124 64,562 32,281 96,844 48,422 24,211 72,634 36,317 108,952 54,476 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458

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