623,889

3³ × 7 × 3301

Starting at 623,889, the Collatz iteration reaches 1 after 110 steps. The first transition is 1871668; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 3301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,056,640

Proper Divisor Sum 432,751

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #623881 ← → #623893

Radix Representation

Decimal	623889
Binary	10011000010100010001 (20 bits)
Octal	0o2302421
Hexadecimal	0x98511

Divisor Catalog (16)

1 3 7 9 21 27 63 189 3,301 9,903 23,107 29,709 69,321 89,127 207,963 623,889

Collatz Trajectory (110 steps to reach 1)

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

623,889 1,871,668 935,834 467,917 1,403,752 701,876 350,938 175,469 526,408 263,204 131,602 65,801 197,404 98,702 49,351 148,054 74,027 222,082 111,041 333,124 166,562 83,281 249,844 124,922 62,461 187,384 93,692 46,846 23,423 70,270 35,135 105,406 52,703 158,110 79,055 237,166 118,583 355,750 177,875 533,626 266,813 800,440 400,220 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744

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