686,833

7² × 107 × 131

Starting at 686,833, the Collatz iteration reaches 1 after 53 steps. The first transition is 2060500; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 107 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 812,592

Proper Divisor Sum 125,759

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #686801 ← → #686837

Radix Representation

Decimal	686833
Binary	10100111101011110001 (20 bits)
Octal	0o2475361
Hexadecimal	0xA7AF1

Divisor Catalog (12)

1 7 49 107 131 749 917 5,243 6,419 14,017 98,119 686,833

Collatz Trajectory (53 steps to reach 1)

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

686,833 2,060,500 1,030,250 515,125 1,545,376 772,688 386,344 193,172 96,586 48,293 144,880 72,440 36,220 18,110 9,055 27,166 13,583 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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