1,776,211

17 × 163 × 641

Starting at 1,776,211, the Collatz iteration reaches 1 after 171 steps. The first transition is 5328634; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 163 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,895,184

Proper Divisor Sum 118,973

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1776209 ← → #1776223

Radix Representation

Decimal	1776211
Binary	110110001101001010011 (21 bits)
Octal	0o6615123
Hexadecimal	0x1B1A53

Divisor Catalog (8)

1 17 163 641 2,771 10,897 104,483 1,776,211

Collatz Trajectory (171 steps to reach 1)

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

1,776,211 5,328,634 2,664,317 7,992,952 3,996,476 1,998,238 999,119 2,997,358 1,498,679 4,496,038 2,248,019 6,744,058 3,372,029 10,116,088 5,058,044 2,529,022 1,264,511 3,793,534 1,896,767 5,690,302 2,845,151 8,535,454 4,267,727 12,803,182 6,401,591 19,204,774 9,602,387 28,807,162 14,403,581 43,210,744 21,605,372 10,802,686 5,401,343 16,204,030 8,102,015 24,306,046 12,153,023 36,459,070 18,229,535 54,688,606 27,344,303 82,032,910 41,016,455 123,049,366 61,524,683 184,574,050 92,287,025 276,861,076 138,430,538 69,215,269 207,645,808 103,822,904 51,911,452 25,955,726 12,977,863 38,933,590 19,466,795 58,400,386 29,200,193 87,600,580

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