4,257,162

2 × 3² × 7 × 13 × 23 × 113

Starting at 4,257,162, the Collatz iteration reaches 1 after 198 steps. The first transition is 2128581; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 23 × 113

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 11,950,848

Proper Divisor Sum 7,693,686

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4257161 ← → #4257163

Radix Representation

Decimal	4257162
Binary	10000001111010110001010 (23 bits)
Octal	0o20172612
Hexadecimal	0x40F58A

Divisor Catalog (60 of 96)

1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 113 117 126 138 161 182 207 226 234 273 299 322 339 414 483 546 598 678 791 819 897 966 1,017 1,449 1,469 1,582 1,638 1,794 2,034 2,093 2,373 2,599 2,691 2,898 2,938 4,186 4,407 4,746 5,198 5,382 6,279

Collatz Trajectory (198 steps to reach 1)

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

4,257,162 2,128,581 6,385,744 3,192,872 1,596,436 798,218 399,109 1,197,328 598,664 299,332 149,666 74,833 224,500 112,250 56,125 168,376 84,188 42,094 21,047 63,142 31,571 94,714 47,357 142,072 71,036 35,518 17,759 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

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