806,527

31 × 26017

Starting at 806,527, the Collatz iteration reaches 1 after 131 steps. The first transition is 2419582; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 26017

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 832,576

Proper Divisor Sum 26,049

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #806521 ← → #806543

Radix Representation

Decimal	806527
Binary	11000100111001111111 (20 bits)
Octal	0o3047177
Hexadecimal	0xC4E7F

Divisor Catalog (4)

1 31 26,017 806,527

Collatz Trajectory (131 steps to reach 1)

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

806,527 2,419,582 1,209,791 3,629,374 1,814,687 5,444,062 2,722,031 8,166,094 4,083,047 12,249,142 6,124,571 18,373,714 9,186,857 27,560,572 13,780,286 6,890,143 20,670,430 10,335,215 31,005,646 15,502,823 46,508,470 23,254,235 69,762,706 34,881,353 104,644,060 52,322,030 26,161,015 78,483,046 39,241,523 117,724,570 58,862,285 176,586,856 88,293,428 44,146,714 22,073,357 66,220,072 33,110,036 16,555,018 8,277,509 24,832,528 12,416,264 6,208,132 3,104,066 1,552,033 4,656,100 2,328,050 1,164,025 3,492,076 1,746,038 873,019 2,619,058 1,309,529 3,928,588 1,964,294 982,147 2,946,442 1,473,221 4,419,664 2,209,832 1,104,916

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