782,347

31 × 25237

782,347 factors as 31 × 25237. Its 4 positive divisors give a proper-divisor sum of 25,269, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 31 × 25237

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 807,616

Proper Divisor Sum 25,269

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #782339 ← → #782371

Radix Representation

Decimal	782347
Binary	10111111000000001011 (20 bits)
Octal	0o2770013
Hexadecimal	0xBF00B

Divisor Catalog (4)

1 31 25,237 782,347

Collatz Trajectory (105 steps to reach 1)

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

782,347 2,347,042 1,173,521 3,520,564 1,760,282 880,141 2,640,424 1,320,212 660,106 330,053 990,160 495,080 247,540 123,770 61,885 185,656 92,828 46,414 23,207 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406 188,203 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648

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