187,783

79 × 2377

Starting at 187,783, the Collatz iteration reaches 1 after 85 steps. The first transition is 563350; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 79 × 2377

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 190,240

Proper Divisor Sum 2,457

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #187763 ← → #187787

Radix Representation

Decimal	187783
Binary	101101110110000111 (18 bits)
Octal	0o556607
Hexadecimal	0x2DD87

Divisor Catalog (4)

1 79 2,377 187,783

Collatz Trajectory (85 steps to reach 1)

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

187,783 563,350 281,675 845,026 422,513 1,267,540 633,770 316,885 950,656 475,328 237,664 118,832 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202

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