862,788

2² × 3 × 71899

Starting at 862,788, the Collatz iteration reaches 1 after 219 steps. The first transition is 431394; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 71899

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,013,200

Proper Divisor Sum 1,150,412

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #862783 ← → #862789

Radix Representation

Decimal	862788
Binary	11010010101001000100 (20 bits)
Octal	0o3225104
Hexadecimal	0xD2A44

Divisor Catalog (12)

1 2 3 4 6 12 71,899 143,798 215,697 287,596 431,394 862,788

Collatz Trajectory (219 steps to reach 1)

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

862,788 431,394 215,697 647,092 323,546 161,773 485,320 242,660 121,330 60,665 181,996 90,998 45,499 136,498 68,249 204,748 102,374 51,187 153,562 76,781 230,344 115,172 57,586 28,793 86,380 43,190 21,595 64,786 32,393 97,180 48,590 24,295 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473

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