806,720

2⁶ × 5 × 2521

Starting at 806,720, the Collatz iteration reaches 1 after 69 steps. The first transition is 403360; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 2521

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 1,921,764

Proper Divisor Sum 1,115,044

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #806719 ← → #806737

Radix Representation

Decimal	806720
Binary	11000100111101000000 (20 bits)
Octal	0o3047500
Hexadecimal	0xC4F40

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 2,521 5,042 10,084 12,605 20,168 25,210 40,336 50,420 80,672 100,840 161,344 201,680 403,360 806,720

Collatz Trajectory (69 steps to reach 1)

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

806,720 403,360 201,680 100,840 50,420 25,210 12,605 37,816 18,908 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 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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