673,537

31 × 21727

Starting at 673,537, the Collatz iteration reaches 1 after 185 steps. The first transition is 2020612; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 21727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 695,296

Proper Divisor Sum 21,759

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #673529 ← → #673549

Radix Representation

Decimal	673537
Binary	10100100011100000001 (20 bits)
Octal	0o2443401
Hexadecimal	0xA4701

Divisor Catalog (4)

1 31 21,727 673,537

Collatz Trajectory (185 steps to reach 1)

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

673,537 2,020,612 1,010,306 505,153 1,515,460 757,730 378,865 1,136,596 568,298 284,149 852,448 426,224 213,112 106,556 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

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