4,237,284

2² × 3 × 17 × 20771

Starting at 4,237,284, the Collatz iteration reaches 1 after 105 steps. The first transition is 2118642; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 20771

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,469,088

Proper Divisor Sum 6,231,804

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4237283 ← → #4237319

Radix Representation

Decimal	4237284
Binary	10000001010011111100100 (23 bits)
Octal	0o20123744
Hexadecimal	0x40A7E4

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 20,771 41,542 62,313 83,084 124,626 249,252 353,107 706,214 1,059,321 1,412,428 2,118,642 4,237,284

Collatz Trajectory (105 steps to reach 1)

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

4,237,284 2,118,642 1,059,321 3,177,964 1,588,982 794,491 2,383,474 1,191,737 3,575,212 1,787,606 893,803 2,681,410 1,340,705 4,022,116 2,011,058 1,005,529 3,016,588 1,508,294 754,147 2,262,442 1,131,221 3,393,664 1,696,832 848,416 424,208 212,104 106,052 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749

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