837,670

2 × 5 × 211 × 397

Starting at 837,670, the Collatz iteration reaches 1 after 144 steps. The first transition is 418835; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 211 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,518,768

Proper Divisor Sum 681,098

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #837667 ← → #837673

Radix Representation

Decimal	837670
Binary	11001100100000100110 (20 bits)
Octal	0o3144046
Hexadecimal	0xCC826

Divisor Catalog (16)

1 2 5 10 211 397 422 794 1,055 1,985 2,110 3,970 83,767 167,534 418,835 837,670

Collatz Trajectory (144 steps to reach 1)

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

837,670 418,835 1,256,506 628,253 1,884,760 942,380 471,190 235,595 706,786 353,393 1,060,180 530,090 265,045 795,136 397,568 198,784 99,392 49,696 24,848 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 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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