2,301,375

3 × 5³ × 17 × 19²

Starting at 2,301,375, the Collatz iteration reaches 1 after 104 steps. The first transition is 6904126; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^3 × 17 × 19^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,279,392

Proper Divisor Sum 1,978,017

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2301361 ← → #2301389

Radix Representation

Decimal	2301375
Binary	1000110001110110111111 (22 bits)
Octal	0o10616677
Hexadecimal	0x231DBF

Divisor Catalog (48)

1 3 5 15 17 19 25 51 57 75 85 95 125 255 285 323 361 375 425 475 969 1,083 1,275 1,425 1,615 1,805 2,125 2,375 4,845 5,415 6,137 6,375 7,125 8,075 9,025 18,411 24,225 27,075 30,685 40,375 45,125 92,055 121,125 135,375 153,425 460,275 767,125 2,301,375

Collatz Trajectory (104 steps to reach 1)

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

2,301,375 6,904,126 3,452,063 10,356,190 5,178,095 15,534,286 7,767,143 23,301,430 11,650,715 34,952,146 17,476,073 52,428,220 26,214,110 13,107,055 39,321,166 19,660,583 58,981,750 29,490,875 88,472,626 44,236,313 132,708,940 66,354,470 33,177,235 99,531,706 49,765,853 149,297,560 74,648,780 37,324,390 18,662,195 55,986,586 27,993,293 83,979,880 41,989,940 20,994,970 10,497,485 31,492,456 15,746,228 7,873,114 3,936,557 11,809,672 5,904,836 2,952,418 1,476,209 4,428,628 2,214,314 1,107,157 3,321,472 1,660,736 830,368 415,184 207,592 103,796 51,898 25,949 77,848 38,924 19,462 9,731 29,194 14,597

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