λ
Sequence Observatory

4,788,738

2 × 32 × 23 × 43 × 269
Abundant Even Composite

Starting at 4,788,738, the Collatz iteration reaches 1 after 237 steps. The first transition is 2394369; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 43 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,119,680
Proper Divisor Sum 6,330,942
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4788733 ← → #4788739

Radix Representation

Decimal 4788738
Binary 10010010001001000000010 (23 bits)
Octal 0o22211002
Hexadecimal 0x491202

Divisor Catalog (48)

1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 269 387 414 538 774 807 989 1,614 1,978 2,421 2,967 4,842 5,934 6,187 8,901 11,567 12,374 17,802 18,561 23,134 34,701 37,122 55,683 69,402 104,103 111,366 208,206 266,041 532,082 798,123 1,596,246 2,394,369 4,788,738

Collatz Trajectory (237 steps to reach 1)

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

4,788,738 2,394,369 7,183,108 3,591,554 1,795,777 5,387,332 2,693,666 1,346,833 4,040,500 2,020,250 1,010,125 3,030,376 1,515,188 757,594 378,797 1,136,392 568,196 284,098 142,049 426,148 213,074 106,537 319,612 159,806 79,903 239,710 119,855 359,566 179,783 539,350 269,675 809,026 404,513 1,213,540 606,770 303,385 910,156 455,078 227,539 682,618 341,309 1,023,928 511,964 255,982 127,991 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240

More profiles

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