8,810,820

2² × 3² × 5 × 31 × 1579

Starting at 8,810,820, the Collatz iteration reaches 1 after 181 steps. The first transition is 4405410; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 31 × 1579

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 27,605,760

Proper Divisor Sum 18,794,940

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8810807 ← → #8810821

Radix Representation

Decimal	8810820
Binary	100001100111000101000100 (24 bits)
Octal	0o41470504
Hexadecimal	0x867144

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1,116 1,395 1,579 1,860 2,790 3,158 4,737 5,580 6,316 7,895 9,474 14,211 15,790 18,948 23,685 28,422 31,580 47,370 48,949 56,844 71,055 94,740 97,898 142,110 146,847 195,796 244,745 284,220 293,694

Collatz Trajectory (181 steps to reach 1)

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

8,810,820 4,405,410 2,202,705 6,608,116 3,304,058 1,652,029 4,956,088 2,478,044 1,239,022 619,511 1,858,534 929,267 2,787,802 1,393,901 4,181,704 2,090,852 1,045,426 522,713 1,568,140 784,070 392,035 1,176,106 588,053 1,764,160 882,080 441,040 220,520 110,260 55,130 27,565 82,696 41,348 20,674 10,337 31,012 15,506 7,753 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553

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