5,206,404

2² × 3 × 7 × 61981

Starting at 5,206,404, the Collatz iteration reaches 1 after 131 steps. The first transition is 2603202; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 61981

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,883,968

Proper Divisor Sum 8,677,564

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5206393 ← → #5206417

Radix Representation

Decimal	5206404
Binary	10011110111000110000100 (23 bits)
Octal	0o23670604
Hexadecimal	0x4F7184

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 61,981 123,962 185,943 247,924 371,886 433,867 743,772 867,734 1,301,601 1,735,468 2,603,202 5,206,404

Collatz Trajectory (131 steps to reach 1)

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

5,206,404 2,603,202 1,301,601 3,904,804 1,952,402 976,201 2,928,604 1,464,302 732,151 2,196,454 1,098,227 3,294,682 1,647,341 4,942,024 2,471,012 1,235,506 617,753 1,853,260 926,630 463,315 1,389,946 694,973 2,084,920 1,042,460 521,230 260,615 781,846 390,923 1,172,770 586,385 1,759,156 879,578 439,789 1,319,368 659,684 329,842 164,921 494,764 247,382 123,691 371,074 185,537 556,612 278,306 139,153 417,460 208,730 104,365 313,096 156,548 78,274 39,137 117,412 58,706 29,353 88,060 44,030 22,015 66,046 33,023

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