9,182,010

2 × 3 × 5 × 421 × 727

Starting at 9,182,010, the Collatz iteration reaches 1 after 238 steps. The first transition is 4591005; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 421 × 727

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,119,552

Proper Divisor Sum 12,937,542

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9182003 ← → #9182021

Radix Representation

Decimal	9182010
Binary	100011000001101100111010 (24 bits)
Octal	0o43015472
Hexadecimal	0x8C1B3A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 421 727 842 1,263 1,454 2,105 2,181 2,526 3,635 4,210 4,362 6,315 7,270 10,905 12,630 21,810 306,067 612,134 918,201 1,530,335 1,836,402 3,060,670 4,591,005 9,182,010

Collatz Trajectory (238 steps to reach 1)

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

9,182,010 4,591,005 13,773,016 6,886,508 3,443,254 1,721,627 5,164,882 2,582,441 7,747,324 3,873,662 1,936,831 5,810,494 2,905,247 8,715,742 4,357,871 13,073,614 6,536,807 19,610,422 9,805,211 29,415,634 14,707,817 44,123,452 22,061,726 11,030,863 33,092,590 16,546,295 49,638,886 24,819,443 74,458,330 37,229,165 111,687,496 55,843,748 27,921,874 13,960,937 41,882,812 20,941,406 10,470,703 31,412,110 15,706,055 47,118,166 23,559,083 70,677,250 35,338,625 106,015,876 53,007,938 26,503,969 79,511,908 39,755,954 19,877,977 59,633,932 29,816,966 14,908,483 44,725,450 22,362,725 67,088,176 33,544,088 16,772,044 8,386,022 4,193,011 12,579,034

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