806,757

3 × 7 × 41 × 937

Starting at 806,757, the Collatz iteration reaches 1 after 69 steps. The first transition is 2420272; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 937

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,260,672

Proper Divisor Sum 453,915

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #806737 ← → #806761

Radix Representation

Decimal	806757
Binary	11000100111101100101 (20 bits)
Octal	0o3047545
Hexadecimal	0xC4F65

Divisor Catalog (16)

1 3 7 21 41 123 287 861 937 2,811 6,559 19,677 38,417 115,251 268,919 806,757

Collatz Trajectory (69 steps to reach 1)

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

806,757 2,420,272 1,210,136 605,068 302,534 151,267 453,802 226,901 680,704 340,352 170,176 85,088 42,544 21,272 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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