835,850

2 × 5² × 73 × 229

Starting at 835,850, the Collatz iteration reaches 1 after 157 steps. The first transition is 417925; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 73 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,582,860

Proper Divisor Sum 747,010

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #835847 ← → #835859

Radix Representation

Decimal	835850
Binary	11001100000100001010 (20 bits)
Octal	0o3140412
Hexadecimal	0xCC10A

Divisor Catalog (24)

1 2 5 10 25 50 73 146 229 365 458 730 1,145 1,825 2,290 3,650 5,725 11,450 16,717 33,434 83,585 167,170 417,925 835,850

Collatz Trajectory (157 steps to reach 1)

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

835,850 417,925 1,253,776 626,888 313,444 156,722 78,361 235,084 117,542 58,771 176,314 88,157 264,472 132,236 66,118 33,059 99,178 49,589 148,768 74,384 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305

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