673,635

3 × 5 × 44909

Starting at 673,635, the Collatz iteration reaches 1 after 198 steps. The first transition is 2020906; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 44909

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,077,840

Proper Divisor Sum 404,205

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #673619 ← → #673637

Radix Representation

Decimal	673635
Binary	10100100011101100011 (20 bits)
Octal	0o2443543
Hexadecimal	0xA4763

Divisor Catalog (8)

1 3 5 15 44,909 134,727 224,545 673,635

Collatz Trajectory (198 steps to reach 1)

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

673,635 2,020,906 1,010,453 3,031,360 1,515,680 757,840 378,920 189,460 94,730 47,365 142,096 71,048 35,524 17,762 8,881 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697

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