4,083,324

2² × 3 × 7 × 48611

Starting at 4,083,324, the Collatz iteration reaches 1 after 185 steps. The first transition is 2041662; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 48611

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,889,088

Proper Divisor Sum 6,805,764

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4083307 ← → #4083341

Radix Representation

Decimal	4083324
Binary	1111100100111001111100 (22 bits)
Octal	0o17447174
Hexadecimal	0x3E4E7C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 48,611 97,222 145,833 194,444 291,666 340,277 583,332 680,554 1,020,831 1,361,108 2,041,662 4,083,324

Collatz Trajectory (185 steps to reach 1)

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

4,083,324 2,041,662 1,020,831 3,062,494 1,531,247 4,593,742 2,296,871 6,890,614 3,445,307 10,335,922 5,167,961 15,503,884 7,751,942 3,875,971 11,627,914 5,813,957 17,441,872 8,720,936 4,360,468 2,180,234 1,090,117 3,270,352 1,635,176 817,588 408,794 204,397 613,192 306,596 153,298 76,649 229,948 114,974 57,487 172,462 86,231 258,694 129,347 388,042 194,021 582,064 291,032 145,516 72,758 36,379 109,138 54,569 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398

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