2,806,462

2 × 17 × 197 × 419

Starting at 2,806,462, the Collatz iteration reaches 1 after 156 steps. The first transition is 1403231; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 197 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,490,640

Proper Divisor Sum 1,684,178

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2806459 ← → #2806469

Radix Representation

Decimal	2806462
Binary	1010101101001010111110 (22 bits)
Octal	0o12551276
Hexadecimal	0x2AD2BE

Divisor Catalog (16)

1 2 17 34 197 394 419 838 3,349 6,698 7,123 14,246 82,543 165,086 1,403,231 2,806,462

Collatz Trajectory (156 steps to reach 1)

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

2,806,462 1,403,231 4,209,694 2,104,847 6,314,542 3,157,271 9,471,814 4,735,907 14,207,722 7,103,861 21,311,584 10,655,792 5,327,896 2,663,948 1,331,974 665,987 1,997,962 998,981 2,996,944 1,498,472 749,236 374,618 187,309 561,928 280,964 140,482 70,241 210,724 105,362 52,681 158,044 79,022 39,511 118,534 59,267 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806

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