5,626,890

2 × 3² × 5 × 103 × 607

Starting at 5,626,890, the Collatz iteration reaches 1 after 157 steps. The first transition is 2813445; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 103 × 607

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,796,288

Proper Divisor Sum 9,169,398

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5626879 ← → #5626891

Radix Representation

Decimal	5626890
Binary	10101011101110000001010 (23 bits)
Octal	0o25356012
Hexadecimal	0x55DC0A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 607 618 927 1,030 1,214 1,545 1,821 1,854 3,035 3,090 3,642 4,635 5,463 6,070 9,105 9,270 10,926 18,210 27,315 54,630 62,521 125,042 187,563 312,605 375,126 562,689 625,210 937,815 1,125,378 1,875,630 2,813,445 5,626,890

Collatz Trajectory (157 steps to reach 1)

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

5,626,890 2,813,445 8,440,336 4,220,168 2,110,084 1,055,042 527,521 1,582,564 791,282 395,641 1,186,924 593,462 296,731 890,194 445,097 1,335,292 667,646 333,823 1,001,470 500,735 1,502,206 751,103 2,253,310 1,126,655 3,379,966 1,689,983 5,069,950 2,534,975 7,604,926 3,802,463 11,407,390 5,703,695 17,111,086 8,555,543 25,666,630 12,833,315 38,499,946 19,249,973 57,749,920 28,874,960 14,437,480 7,218,740 3,609,370 1,804,685 5,414,056 2,707,028 1,353,514 676,757 2,030,272 1,015,136 507,568 253,784 126,892 63,446 31,723 95,170 47,585 142,756 71,378 35,689

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