3,018,114

2 × 3³ × 11 × 5081

Starting at 3,018,114, the Collatz iteration reaches 1 after 133 steps. The first transition is 1509057; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 5081

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,318,080

Proper Divisor Sum 4,299,966

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3018091 ← → #3018121

Radix Representation

Decimal	3018114
Binary	1011100000110110000010 (22 bits)
Octal	0o13406602
Hexadecimal	0x2E0D82

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 5,081 10,162 15,243 30,486 45,729 55,891 91,458 111,782 137,187 167,673 274,374 335,346 503,019 1,006,038 1,509,057 3,018,114

Collatz Trajectory (133 steps to reach 1)

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

3,018,114 1,509,057 4,527,172 2,263,586 1,131,793 3,395,380 1,697,690 848,845 2,546,536 1,273,268 636,634 318,317 954,952 477,476 238,738 119,369 358,108 179,054 89,527 268,582 134,291 402,874 201,437 604,312 302,156 151,078 75,539 226,618 113,309 339,928 169,964 84,982 42,491 127,474 63,737 191,212 95,606 47,803 143,410 71,705 215,116 107,558 53,779 161,338 80,669 242,008 121,004 60,502 30,251 90,754 45,377 136,132 68,066 34,033 102,100 51,050 25,525 76,576 38,288 19,144

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