2,119,743

3³ × 78509

Starting at 2,119,743, the Collatz iteration reaches 1 after 179 steps. The first transition is 6359230; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 78509

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,140,400

Proper Divisor Sum 1,020,657

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2119739 ← → #2119751

Radix Representation

Decimal	2119743
Binary	1000000101100000111111 (22 bits)
Octal	0o10054077
Hexadecimal	0x20583F

Divisor Catalog (8)

1 3 9 27 78,509 235,527 706,581 2,119,743

Collatz Trajectory (179 steps to reach 1)

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

2,119,743 6,359,230 3,179,615 9,538,846 4,769,423 14,308,270 7,154,135 21,462,406 10,731,203 32,193,610 16,096,805 48,290,416 24,145,208 12,072,604 6,036,302 3,018,151 9,054,454 4,527,227 13,581,682 6,790,841 20,372,524 10,186,262 5,093,131 15,279,394 7,639,697 22,919,092 11,459,546 5,729,773 17,189,320 8,594,660 4,297,330 2,148,665 6,445,996 3,222,998 1,611,499 4,834,498 2,417,249 7,251,748 3,625,874 1,812,937 5,438,812 2,719,406 1,359,703 4,079,110 2,039,555 6,118,666 3,059,333 9,178,000 4,589,000 2,294,500 1,147,250 573,625 1,720,876 860,438 430,219 1,290,658 645,329 1,935,988 967,994 483,997

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