1,939,782

2 × 3 × 13² × 1913

Starting at 1,939,782, the Collatz iteration reaches 1 after 215 steps. The first transition is 969891; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 1913

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,203,144

Proper Divisor Sum 2,263,362

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1939771 ← → #1939787

Radix Representation

Decimal	1939782
Binary	111011001100101000110 (21 bits)
Octal	0o7314506
Hexadecimal	0x1D9946

Divisor Catalog (24)

Collatz Trajectory (215 steps to reach 1)

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

1,939,782 969,891 2,909,674 1,454,837 4,364,512 2,182,256 1,091,128 545,564 272,782 136,391 409,174 204,587 613,762 306,881 920,644 460,322 230,161 690,484 345,242 172,621 517,864 258,932 129,466 64,733 194,200 97,100 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311

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