791,302

2 × 173 × 2287

Starting at 791,302, the Collatz iteration reaches 1 after 162 steps. The first transition is 395651; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 173 × 2287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,194,336

Proper Divisor Sum 403,034

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #791291 ← → #791309

Radix Representation

Decimal	791302
Binary	11000001001100000110 (20 bits)
Octal	0o3011406
Hexadecimal	0xC1306

Divisor Catalog (8)

1 2 173 346 2,287 4,574 395,651 791,302

Collatz Trajectory (162 steps to reach 1)

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

791,302 395,651 1,186,954 593,477 1,780,432 890,216 445,108 222,554 111,277 333,832 166,916 83,458 41,729 125,188 62,594 31,297 93,892 46,946 23,473 70,420 35,210 17,605 52,816 26,408 13,204 6,602 3,301 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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