840,952

2³ × 7 × 15017

840,952 factors as 2^3 × 7 × 15017. Its 16 positive divisors give a proper-divisor sum of 961,208, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 15017

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,802,160

Proper Divisor Sum 961,208

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #840943 ← → #840967

Radix Representation

Decimal	840952
Binary	11001101010011111000 (20 bits)
Octal	0o3152370
Hexadecimal	0xCD4F8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 15,017 30,034 60,068 105,119 120,136 210,238 420,476 840,952

Collatz Trajectory (206 steps to reach 1)

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

840,952 420,476 210,238 105,119 315,358 157,679 473,038 236,519 709,558 354,779 1,064,338 532,169 1,596,508 798,254 399,127 1,197,382 598,691 1,796,074 898,037 2,694,112 1,347,056 673,528 336,764 168,382 84,191 252,574 126,287 378,862 189,431 568,294 284,147 852,442 426,221 1,278,664 639,332 319,666 159,833 479,500 239,750 119,875 359,626 179,813 539,440 269,720 134,860 67,430 33,715 101,146 50,573 151,720 75,860 37,930 18,965 56,896 28,448 14,224 7,112 3,556 1,778 889

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