7,233,138

2 × 3⁶ × 11² × 41

7,233,138 factors as 2 × 3^6 × 11^2 × 41. Its 84 positive divisors give a proper-divisor sum of 11,083,356, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3^6 × 11^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 18,316,494

Proper Divisor Sum 11,083,356

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7233103 ← → #7233139

Radix Representation

Decimal	7233138
Binary	11011100101111001110010 (23 bits)
Octal	0o33457162
Hexadecimal	0x6E5E72

Divisor Catalog (60 of 84)

1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 121 123 162 198 242 243 246 297 363 369 451 486 594 726 729 738 891 902 1,089 1,107 1,353 1,458 1,782 2,178 2,214 2,673 2,706 3,267 3,321 4,059 4,961 5,346 6,534 6,642 8,019 8,118 9,801 9,922 9,963 12,177 14,883 16,038 19,602 19,926

Collatz Trajectory (142 steps to reach 1)

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

7,233,138 3,616,569 10,849,708 5,424,854 2,712,427 8,137,282 4,068,641 12,205,924 6,102,962 3,051,481 9,154,444 4,577,222 2,288,611 6,865,834 3,432,917 10,298,752 5,149,376 2,574,688 1,287,344 643,672 321,836 160,918 80,459 241,378 120,689 362,068 181,034 90,517 271,552 135,776 67,888 33,944 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654

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