1,082,798

2 × 17 × 31847

Starting at 1,082,798, the Collatz iteration reaches 1 after 72 steps. The first transition is 541399; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 31847

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,719,792

Proper Divisor Sum 636,994

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1082777 ← → #1082801

Radix Representation

Decimal	1082798
Binary	100001000010110101110 (21 bits)
Octal	0o4102656
Hexadecimal	0x1085AE

Divisor Catalog (8)

1 2 17 34 31,847 63,694 541,399 1,082,798

Collatz Trajectory (72 steps to reach 1)

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

1,082,798 541,399 1,624,198 812,099 2,436,298 1,218,149 3,654,448 1,827,224 913,612 456,806 228,403 685,210 342,605 1,027,816 513,908 256,954 128,477 385,432 192,716 96,358 48,179 144,538 72,269 216,808 108,404 54,202 27,101 81,304 40,652 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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