4,184,652

2² × 3 × 17 × 73 × 281

Starting at 4,184,652, the Collatz iteration reaches 1 after 74 steps. The first transition is 2092326; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 73 × 281

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,517,472

Proper Divisor Sum 6,332,820

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4184647 ← → #4184657

Radix Representation

Decimal	4184652
Binary	1111111101101001001100 (22 bits)
Octal	0o17755114
Hexadecimal	0x3FDA4C

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 281 292 438 562 843 876 1,124 1,241 1,686 2,482 3,372 3,723 4,777 4,964 7,446 9,554 14,331 14,892 19,108 20,513 28,662 41,026 57,324 61,539 82,052 123,078 246,156 348,721 697,442 1,046,163 1,394,884 2,092,326 4,184,652

Collatz Trajectory (74 steps to reach 1)

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

4,184,652 2,092,326 1,046,163 3,138,490 1,569,245 4,707,736 2,353,868 1,176,934 588,467 1,765,402 882,701 2,648,104 1,324,052 662,026 331,013 993,040 496,520 248,260 124,130 62,065 186,196 93,098 46,549 139,648 69,824 34,912 17,456 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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