4,587,892

2² × 17 × 19 × 53 × 67

Starting at 4,587,892, the Collatz iteration reaches 1 after 100 steps. The first transition is 2293946; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 19 × 53 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,253,440

Proper Divisor Sum 4,665,548

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #4587883 ← → #4587893

Radix Representation

Decimal	4587892
Binary	10001100000000101110100 (23 bits)
Octal	0o21400564
Hexadecimal	0x460174

Divisor Catalog (48)

1 2 4 17 19 34 38 53 67 68 76 106 134 212 268 323 646 901 1,007 1,139 1,273 1,292 1,802 2,014 2,278 2,546 3,551 3,604 4,028 4,556 5,092 7,102 14,204 17,119 21,641 34,238 43,282 60,367 67,469 68,476 86,564 120,734 134,938 241,468 269,876 1,146,973 2,293,946 4,587,892

Collatz Trajectory (100 steps to reach 1)

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

4,587,892 2,293,946 1,146,973 3,440,920 1,720,460 860,230 430,115 1,290,346 645,173 1,935,520 967,760 483,880 241,940 120,970 60,485 181,456 90,728 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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