4,026,303

3² × 37 × 107 × 113

Starting at 4,026,303, the Collatz iteration reaches 1 after 273 steps. The first transition is 12078910; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 107 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,082,128

Proper Divisor Sum 2,055,825

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4026301 ← → #4026313

Radix Representation

Decimal	4026303
Binary	1111010110111110111111 (22 bits)
Octal	0o17267677
Hexadecimal	0x3D6FBF

Divisor Catalog (24)

1 3 9 37 107 111 113 321 333 339 963 1,017 3,959 4,181 11,877 12,091 12,543 35,631 36,273 37,629 108,819 447,367 1,342,101 4,026,303

Collatz Trajectory (273 steps to reach 1)

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

4,026,303 12,078,910 6,039,455 18,118,366 9,059,183 27,177,550 13,588,775 40,766,326 20,383,163 61,149,490 30,574,745 91,724,236 45,862,118 22,931,059 68,793,178 34,396,589 103,189,768 51,594,884 25,797,442 12,898,721 38,696,164 19,348,082 9,674,041 29,022,124 14,511,062 7,255,531 21,766,594 10,883,297 32,649,892 16,324,946 8,162,473 24,487,420 12,243,710 6,121,855 18,365,566 9,182,783 27,548,350 13,774,175 41,322,526 20,661,263 61,983,790 30,991,895 92,975,686 46,487,843 139,463,530 69,731,765 209,195,296 104,597,648 52,298,824 26,149,412 13,074,706 6,537,353 19,612,060 9,806,030 4,903,015 14,709,046 7,354,523 22,063,570 11,031,785 33,095,356

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