187,815

3 × 5 × 19 × 659

Starting at 187,815, the Collatz iteration reaches 1 after 85 steps. The first transition is 563446; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 316,800

Proper Divisor Sum 128,985

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #187793 ← → #187823

Radix Representation

Decimal	187815
Binary	101101110110100111 (18 bits)
Octal	0o556647
Hexadecimal	0x2DDA7

Divisor Catalog (16)

1 3 5 15 19 57 95 285 659 1,977 3,295 9,885 12,521 37,563 62,605 187,815

Collatz Trajectory (85 steps to reach 1)

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

187,815 563,446 281,723 845,170 422,585 1,267,756 633,878 316,939 950,818 475,409 1,426,228 713,114 356,557 1,069,672 534,836 267,418 133,709 401,128 200,564 100,282 50,141 150,424 75,212 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192

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