837,816

2³ × 3 × 7 × 4987

Starting at 837,816, the Collatz iteration reaches 1 after 144 steps. The first transition is 418908; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 4987

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,394,240

Proper Divisor Sum 1,556,424

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #837797 ← → #837817

Radix Representation

Decimal	837816
Binary	11001100100010111000 (20 bits)
Octal	0o3144270
Hexadecimal	0xCC8B8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4,987 9,974 14,961 19,948 29,922 34,909 39,896 59,844 69,818 104,727 119,688 139,636 209,454 279,272 418,908 837,816

Collatz Trajectory (144 steps to reach 1)

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

837,816 418,908 209,454 104,727 314,182 157,091 471,274 235,637 706,912 353,456 176,728 88,364 44,182 22,091 66,274 33,137 99,412 49,706 24,853 74,560 37,280 18,640 9,320 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 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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