5,180,886

2 × 3² × 17 × 16931

Starting at 5,180,886, the Collatz iteration reaches 1 after 206 steps. The first transition is 2590443; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 16931

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,886,264

Proper Divisor Sum 6,705,378

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5180839 ← → #5180887

Radix Representation

Decimal	5180886
Binary	10011110000110111010110 (23 bits)
Octal	0o23606726
Hexadecimal	0x4F0DD6

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 16,931 33,862 50,793 101,586 152,379 287,827 304,758 575,654 863,481 1,726,962 2,590,443 5,180,886

Collatz Trajectory (206 steps to reach 1)

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

5,180,886 2,590,443 7,771,330 3,885,665 11,656,996 5,828,498 2,914,249 8,742,748 4,371,374 2,185,687 6,557,062 3,278,531 9,835,594 4,917,797 14,753,392 7,376,696 3,688,348 1,844,174 922,087 2,766,262 1,383,131 4,149,394 2,074,697 6,224,092 3,112,046 1,556,023 4,668,070 2,334,035 7,002,106 3,501,053 10,503,160 5,251,580 2,625,790 1,312,895 3,938,686 1,969,343 5,908,030 2,954,015 8,862,046 4,431,023 13,293,070 6,646,535 19,939,606 9,969,803 29,909,410 14,954,705 44,864,116 22,432,058 11,216,029 33,648,088 16,824,044 8,412,022 4,206,011 12,618,034 6,309,017 18,927,052 9,463,526 4,731,763 14,195,290 7,097,645

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