1,777,166

2 × 683 × 1301

Starting at 1,777,166, the Collatz iteration reaches 1 after 158 steps. The first transition is 888583; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 683 × 1301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,671,704

Proper Divisor Sum 894,538

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1777133 ← → #1777169

Radix Representation

Decimal	1777166
Binary	110110001111000001110 (21 bits)
Octal	0o6617016
Hexadecimal	0x1B1E0E

Divisor Catalog (8)

1 2 683 1,301 1,366 2,602 888,583 1,777,166

Collatz Trajectory (158 steps to reach 1)

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

1,777,166 888,583 2,665,750 1,332,875 3,998,626 1,999,313 5,997,940 2,998,970 1,499,485 4,498,456 2,249,228 1,124,614 562,307 1,686,922 843,461 2,530,384 1,265,192 632,596 316,298 158,149 474,448 237,224 118,612 59,306 29,653 88,960 44,480 22,240 11,120 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322

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