8,827,390

2 × 5 × 11 × 13 × 6173

Starting at 8,827,390, the Collatz iteration reaches 1 after 181 steps. The first transition is 4413695; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 13 × 6173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,670,176

Proper Divisor Sum 9,842,786

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8827387 ← → #8827391

Radix Representation

Decimal	8827390
Binary	100001101011000111111110 (24 bits)
Octal	0o41530776
Hexadecimal	0x86B1FE

Divisor Catalog (32)

1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1,430 6,173 12,346 30,865 61,730 67,903 80,249 135,806 160,498 339,515 401,245 679,030 802,490 882,739 1,765,478 4,413,695 8,827,390

Collatz Trajectory (181 steps to reach 1)

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

8,827,390 4,413,695 13,241,086 6,620,543 19,861,630 9,930,815 29,792,446 14,896,223 44,688,670 22,344,335 67,033,006 33,516,503 100,549,510 50,274,755 150,824,266 75,412,133 226,236,400 113,118,200 56,559,100 28,279,550 14,139,775 42,419,326 21,209,663 63,628,990 31,814,495 95,443,486 47,721,743 143,165,230 71,582,615 214,747,846 107,373,923 322,121,770 161,060,885 483,182,656 241,591,328 120,795,664 60,397,832 30,198,916 15,099,458 7,549,729 22,649,188 11,324,594 5,662,297 16,986,892 8,493,446 4,246,723 12,740,170 6,370,085 19,110,256 9,555,128 4,777,564 2,388,782 1,194,391 3,583,174 1,791,587 5,374,762 2,687,381 8,062,144 4,031,072 2,015,536

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