λ
Sequence Observatory

6,024,618

2 × 34 × 37189
Abundant Even Composite

Starting at 6,024,618, the Collatz iteration reaches 1 after 183 steps. The first transition is 3012309; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 37189
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,499,970
Proper Divisor Sum 7,475,352
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6024611 ← → #6024637

Radix Representation

Decimal 6024618
Binary 10110111110110110101010 (23 bits)
Octal 0o26766652
Hexadecimal 0x5BEDAA

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 37,189 74,378 111,567 223,134 334,701 669,402 1,004,103 2,008,206 3,012,309 6,024,618

Collatz Trajectory (183 steps to reach 1)

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

6,024,618 3,012,309 9,036,928 4,518,464 2,259,232 1,129,616 564,808 282,404 141,202 70,601 211,804 105,902 52,951 158,854 79,427 238,282 119,141 357,424 178,712 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374

More profiles

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