656,392

2³ × 11 × 7459

Starting at 656,392, the Collatz iteration reaches 1 after 66 steps. The first transition is 328196; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 7459

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,342,800

Proper Divisor Sum 686,408

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #656389 ← → #656407

Radix Representation

Decimal	656392
Binary	10100000010000001000 (20 bits)
Octal	0o2402010
Hexadecimal	0xA0408

Divisor Catalog (16)

1 2 4 8 11 22 44 88 7,459 14,918 29,836 59,672 82,049 164,098 328,196 656,392

Collatz Trajectory (66 steps to reach 1)

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

656,392 328,196 164,098 82,049 246,148 123,074 61,537 184,612 92,306 46,153 138,460 69,230 34,615 103,846 51,923 155,770 77,885 233,656 116,828 58,414 29,207 87,622 43,811 131,434 65,717 197,152 98,576 49,288 24,644 12,322 6,161 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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