826,839

3² × 13 × 37 × 191

826,839 has the prime decomposition 3^2 × 13 × 37 × 191. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 37 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,327,872

Proper Divisor Sum 501,033

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #826831 ← → #826849

Radix Representation

Decimal	826839
Binary	11001001110111010111 (20 bits)
Octal	0o3116727
Hexadecimal	0xC9DD7

Divisor Catalog (24)

1 3 9 13 37 39 111 117 191 333 481 573 1,443 1,719 2,483 4,329 7,067 7,449 21,201 22,347 63,603 91,871 275,613 826,839

Collatz Trajectory (162 steps to reach 1)

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

826,839 2,480,518 1,240,259 3,720,778 1,860,389 5,581,168 2,790,584 1,395,292 697,646 348,823 1,046,470 523,235 1,569,706 784,853 2,354,560 1,177,280 588,640 294,320 147,160 73,580 36,790 18,395 55,186 27,593 82,780 41,390 20,695 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246

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