862,766

2 × 37 × 89 × 131

Starting at 862,766, the Collatz iteration reaches 1 after 95 steps. The first transition is 431383; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 89 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,354,320

Proper Divisor Sum 491,554

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #862739 ← → #862769

Radix Representation

Decimal	862766
Binary	11010010101000101110 (20 bits)
Octal	0o3225056
Hexadecimal	0xD2A2E

Divisor Catalog (16)

1 2 37 74 89 131 178 262 3,293 4,847 6,586 9,694 11,659 23,318 431,383 862,766

Collatz Trajectory (95 steps to reach 1)

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

862,766 431,383 1,294,150 647,075 1,941,226 970,613 2,911,840 1,455,920 727,960 363,980 181,990 90,995 272,986 136,493 409,480 204,740 102,370 51,185 153,556 76,778 38,389 115,168 57,584 28,792 14,396 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917

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