1,781,182

2 × 13 × 68507

Starting at 1,781,182, the Collatz iteration reaches 1 after 119 steps. The first transition is 890591; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 68507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,877,336

Proper Divisor Sum 1,096,154

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1781173 ← → #1781203

Radix Representation

Decimal	1781182
Binary	110110010110110111110 (21 bits)
Octal	0o6626676
Hexadecimal	0x1B2DBE

Divisor Catalog (8)

1 2 13 26 68,507 137,014 890,591 1,781,182

Collatz Trajectory (119 steps to reach 1)

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

1,781,182 890,591 2,671,774 1,335,887 4,007,662 2,003,831 6,011,494 3,005,747 9,017,242 4,508,621 13,525,864 6,762,932 3,381,466 1,690,733 5,072,200 2,536,100 1,268,050 634,025 1,902,076 951,038 475,519 1,426,558 713,279 2,139,838 1,069,919 3,209,758 1,604,879 4,814,638 2,407,319 7,221,958 3,610,979 10,832,938 5,416,469 16,249,408 8,124,704 4,062,352 2,031,176 1,015,588 507,794 253,897 761,692 380,846 190,423 571,270 285,635 856,906 428,453 1,285,360 642,680 321,340 160,670 80,335 241,006 120,503 361,510 180,755 542,266 271,133 813,400 406,700

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