4,235,196

2² × 3 × 7 × 127 × 397

Starting at 4,235,196, the Collatz iteration reaches 1 after 335 steps. The first transition is 2117598; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 127 × 397

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,411,456

Proper Divisor Sum 7,176,260

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4235149 ← → #4235201

Radix Representation

Decimal	4235196
Binary	10000001001111110111100 (23 bits)
Octal	0o20117674
Hexadecimal	0x409FBC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 397 508 762 794 889 1,191 1,524 1,588 1,778 2,382 2,667 2,779 3,556 4,764 5,334 5,558 8,337 10,668 11,116 16,674 33,348 50,419 100,838 151,257 201,676 302,514 352,933 605,028 705,866 1,058,799 1,411,732 2,117,598 4,235,196

Collatz Trajectory (335 steps to reach 1)

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

4,235,196 2,117,598 1,058,799 3,176,398 1,588,199 4,764,598 2,382,299 7,146,898 3,573,449 10,720,348 5,360,174 2,680,087 8,040,262 4,020,131 12,060,394 6,030,197 18,090,592 9,045,296 4,522,648 2,261,324 1,130,662 565,331 1,695,994 847,997 2,543,992 1,271,996 635,998 317,999 953,998 476,999 1,430,998 715,499 2,146,498 1,073,249 3,219,748 1,609,874 804,937 2,414,812 1,207,406 603,703 1,811,110 905,555 2,716,666 1,358,333 4,075,000 2,037,500 1,018,750 509,375 1,528,126 764,063 2,292,190 1,146,095 3,438,286 1,719,143 5,157,430 2,578,715 7,736,146 3,868,073 11,604,220 5,802,110

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