4,776,306

2 × 3 × 307 × 2593

Starting at 4,776,306, the Collatz iteration reaches 1 after 206 steps. The first transition is 2388153; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 307 × 2593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,587,424

Proper Divisor Sum 4,811,118

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4776287 ← → #4776313

Radix Representation

Decimal	4776306
Binary	10010001110000101110010 (23 bits)
Octal	0o22160562
Hexadecimal	0x48E172

Divisor Catalog (16)

1 2 3 6 307 614 921 1,842 2,593 5,186 7,779 15,558 796,051 1,592,102 2,388,153 4,776,306

Collatz Trajectory (206 steps to reach 1)

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

4,776,306 2,388,153 7,164,460 3,582,230 1,791,115 5,373,346 2,686,673 8,060,020 4,030,010 2,015,005 6,045,016 3,022,508 1,511,254 755,627 2,266,882 1,133,441 3,400,324 1,700,162 850,081 2,550,244 1,275,122 637,561 1,912,684 956,342 478,171 1,434,514 717,257 2,151,772 1,075,886 537,943 1,613,830 806,915 2,420,746 1,210,373 3,631,120 1,815,560 907,780 453,890 226,945 680,836 340,418 170,209 510,628 255,314 127,657 382,972 191,486 95,743 287,230 143,615 430,846 215,423 646,270 323,135 969,406 484,703 1,454,110 727,055 2,181,166 1,090,583

← Previous Integer #4,776,305 Browse Full Index Next Integer #4,776,307 →