7,234,052

2² × 7 × 23 × 47 × 239

Starting at 7,234,052, the Collatz iteration reaches 1 after 67 steps. The first transition is 3617026; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 47 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,482,880

Proper Divisor Sum 8,248,828

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7234001 ← → #7234063

Radix Representation

Decimal	7234052
Binary	11011100110001000000100 (23 bits)
Octal	0o33461004
Hexadecimal	0x6E6204

Divisor Catalog (48)

1 2 4 7 14 23 28 46 47 92 94 161 188 239 322 329 478 644 658 956 1,081 1,316 1,673 2,162 3,346 4,324 5,497 6,692 7,567 10,994 11,233 15,134 21,988 22,466 30,268 38,479 44,932 76,958 78,631 153,916 157,262 258,359 314,524 516,718 1,033,436 1,808,513 3,617,026 7,234,052

Collatz Trajectory (67 steps to reach 1)

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

7,234,052 3,617,026 1,808,513 5,425,540 2,712,770 1,356,385 4,069,156 2,034,578 1,017,289 3,051,868 1,525,934 762,967 2,288,902 1,144,451 3,433,354 1,716,677 5,150,032 2,575,016 1,287,508 643,754 321,877 965,632 482,816 241,408 120,704 60,352 30,176 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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