2,421,081

3² × 13 × 20693

Starting at 2,421,081, the Collatz iteration reaches 1 after 117 steps. The first transition is 7263244; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 20693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,766,308

Proper Divisor Sum 1,345,227

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2421077 ← → #2421109

Radix Representation

Decimal	2421081
Binary	1001001111000101011001 (22 bits)
Octal	0o11170531
Hexadecimal	0x24F159

Divisor Catalog (12)

1 3 9 13 39 117 20,693 62,079 186,237 269,009 807,027 2,421,081

Collatz Trajectory (117 steps to reach 1)

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

2,421,081 7,263,244 3,631,622 1,815,811 5,447,434 2,723,717 8,171,152 4,085,576 2,042,788 1,021,394 510,697 1,532,092 766,046 383,023 1,149,070 574,535 1,723,606 861,803 2,585,410 1,292,705 3,878,116 1,939,058 969,529 2,908,588 1,454,294 727,147 2,181,442 1,090,721 3,272,164 1,636,082 818,041 2,454,124 1,227,062 613,531 1,840,594 920,297 2,760,892 1,380,446 690,223 2,070,670 1,035,335 3,106,006 1,553,003 4,659,010 2,329,505 6,988,516 3,494,258 1,747,129 5,241,388 2,620,694 1,310,347 3,931,042 1,965,521 5,896,564 2,948,282 1,474,141 4,422,424 2,211,212 1,105,606 552,803

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