3,120,921

3² × 19 × 18251

Starting at 3,120,921, the Collatz iteration reaches 1 after 151 steps. The first transition is 9362764; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 18251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,745,520

Proper Divisor Sum 1,624,599

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3120919 ← → #3120937

Radix Representation

Decimal	3120921
Binary	1011111001111100011001 (22 bits)
Octal	0o13717431
Hexadecimal	0x2F9F19

Divisor Catalog (12)

1 3 9 19 57 171 18,251 54,753 164,259 346,769 1,040,307 3,120,921

Collatz Trajectory (151 steps to reach 1)

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

3,120,921 9,362,764 4,681,382 2,340,691 7,022,074 3,511,037 10,533,112 5,266,556 2,633,278 1,316,639 3,949,918 1,974,959 5,924,878 2,962,439 8,887,318 4,443,659 13,330,978 6,665,489 19,996,468 9,998,234 4,999,117 14,997,352 7,498,676 3,749,338 1,874,669 5,624,008 2,812,004 1,406,002 703,001 2,109,004 1,054,502 527,251 1,581,754 790,877 2,372,632 1,186,316 593,158 296,579 889,738 444,869 1,334,608 667,304 333,652 166,826 83,413 250,240 125,120 62,560 31,280 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550

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