784,140

2² × 3 × 5 × 7 × 1867

784,140 has the prime decomposition 2^2 × 3 × 5 × 7 × 1867. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 1867

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,510,592

Proper Divisor Sum 1,726,452

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #784129 ← → #784153

Radix Representation

Decimal	784140
Binary	10111111011100001100 (20 bits)
Octal	0o2773414
Hexadecimal	0xBF70C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1,867 3,734 5,601 7,468 9,335 11,202 13,069 18,670 22,404 26,138 28,005 37,340 39,207 52,276 56,010 65,345 78,414 112,020 130,690 156,828 196,035 261,380 392,070 784,140

Collatz Trajectory (162 steps to reach 1)

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

784,140 392,070 196,035 588,106 294,053 882,160 441,080 220,540 110,270 55,135 165,406 82,703 248,110 124,055 372,166 186,083 558,250 279,125 837,376 418,688 209,344 104,672 52,336 26,168 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142

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