2,015,154

2 × 3² × 111953

Starting at 2,015,154, the Collatz iteration reaches 1 after 91 steps. The first transition is 1007577; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 111953

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,366,206

Proper Divisor Sum 2,351,052

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2015149 ← → #2015161

Radix Representation

Decimal	2015154
Binary	111101011111110110010 (21 bits)
Octal	0o7537662
Hexadecimal	0x1EBFB2

Divisor Catalog (12)

1 2 3 6 9 18 111,953 223,906 335,859 671,718 1,007,577 2,015,154

Collatz Trajectory (91 steps to reach 1)

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

2,015,154 1,007,577 3,022,732 1,511,366 755,683 2,267,050 1,133,525 3,400,576 1,700,288 850,144 425,072 212,536 106,268 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358

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