4,270,425

3 × 5² × 97 × 587

Starting at 4,270,425, the Collatz iteration reaches 1 after 123 steps. The first transition is 12811276; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 97 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,145,376

Proper Divisor Sum 2,874,951

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4270411 ← → #4270447

Radix Representation

Decimal	4270425
Binary	10000010010100101011001 (23 bits)
Octal	0o20224531
Hexadecimal	0x412959

Divisor Catalog (24)

1 3 5 15 25 75 97 291 485 587 1,455 1,761 2,425 2,935 7,275 8,805 14,675 44,025 56,939 170,817 284,695 854,085 1,423,475 4,270,425

Collatz Trajectory (123 steps to reach 1)

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

4,270,425 12,811,276 6,405,638 3,202,819 9,608,458 4,804,229 14,412,688 7,206,344 3,603,172 1,801,586 900,793 2,702,380 1,351,190 675,595 2,026,786 1,013,393 3,040,180 1,520,090 760,045 2,280,136 1,140,068 570,034 285,017 855,052 427,526 213,763 641,290 320,645 961,936 480,968 240,484 120,242 60,121 180,364 90,182 45,091 135,274 67,637 202,912 101,456 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755

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