856,844

2² × 214211

856,844 factors as 2^2 × 214211. Its 6 positive divisors give a proper-divisor sum of 642,640, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 214211

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,499,484

Proper Divisor Sum 642,640

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #856841 ← → #856847

Radix Representation

Decimal	856844
Binary	11010001001100001100 (20 bits)
Octal	0o3211414
Hexadecimal	0xD130C

Divisor Catalog (6)

1 2 4 214,211 428,422 856,844

Collatz Trajectory (100 steps to reach 1)

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

856,844 428,422 214,211 642,634 321,317 963,952 481,976 240,988 120,494 60,247 180,742 90,371 271,114 135,557 406,672 203,336 101,668 50,834 25,417 76,252 38,126 19,063 57,190 28,595 85,786 42,893 128,680 64,340 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

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