832,617

3² × 71 × 1303

832,617 is odd and not a perfect square. Its factorization is 3^2 × 71 × 1303 and its 12 divisors sum to 1,220,544.

Prime Factor Structure

Factorization String 3^2 × 71 × 1303

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,220,544

Proper Divisor Sum 387,927

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #832613 ← → #832621

Radix Representation

Decimal	832617
Binary	11001011010001101001 (20 bits)
Octal	0o3132151
Hexadecimal	0xCB469

Divisor Catalog (12)

1 3 9 71 213 639 1,303 3,909 11,727 92,513 277,539 832,617

Collatz Trajectory (162 steps to reach 1)

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

832,617 2,497,852 1,248,926 624,463 1,873,390 936,695 2,810,086 1,405,043 4,215,130 2,107,565 6,322,696 3,161,348 1,580,674 790,337 2,371,012 1,185,506 592,753 1,778,260 889,130 444,565 1,333,696 666,848 333,424 166,712 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282

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