2,323,224

2³ × 3² × 41 × 787

Starting at 2,323,224, the Collatz iteration reaches 1 after 99 steps. The first transition is 1161612; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 41 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,453,720

Proper Divisor Sum 4,130,496

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2323213 ← → #2323229

Radix Representation

Decimal	2323224
Binary	1000110111001100011000 (22 bits)
Octal	0o10671430
Hexadecimal	0x237318

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 787 984 1,476 1,574 2,361 2,952 3,148 4,722 6,296 7,083 9,444 14,166 18,888 28,332 32,267 56,664 64,534 96,801 129,068 193,602 258,136 290,403 387,204 580,806 774,408 1,161,612 2,323,224

Collatz Trajectory (99 steps to reach 1)

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

2,323,224 1,161,612 580,806 290,403 871,210 435,605 1,306,816 653,408 326,704 163,352 81,676 40,838 20,419 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458

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