1,677,966

2 × 3 × 19 × 41 × 359

Starting at 1,677,966, the Collatz iteration reaches 1 after 176 steps. The first transition is 838983; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 41 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,628,800

Proper Divisor Sum 1,950,834

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1677961 ← → #1677971

Radix Representation

Decimal	1677966
Binary	110011001101010001110 (21 bits)
Octal	0o6315216
Hexadecimal	0x199A8E

Divisor Catalog (32)

1 2 3 6 19 38 41 57 82 114 123 246 359 718 779 1,077 1,558 2,154 2,337 4,674 6,821 13,642 14,719 20,463 29,438 40,926 44,157 88,314 279,661 559,322 838,983 1,677,966

Collatz Trajectory (176 steps to reach 1)

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

1,677,966 838,983 2,516,950 1,258,475 3,775,426 1,887,713 5,663,140 2,831,570 1,415,785 4,247,356 2,123,678 1,061,839 3,185,518 1,592,759 4,778,278 2,389,139 7,167,418 3,583,709 10,751,128 5,375,564 2,687,782 1,343,891 4,031,674 2,015,837 6,047,512 3,023,756 1,511,878 755,939 2,267,818 1,133,909 3,401,728 1,700,864 850,432 425,216 212,608 106,304 53,152 26,576 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777

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