55,193,744

2⁴ × 23² × 6521

55,193,744 factors as 2^4 × 23^2 × 6521. Its 30 positive divisors give a proper-divisor sum of 56,612,902, so this integer is abundant. The Collatz stopping time is 287 steps.

Prime Factor Structure

Factorization String 2^4 × 23^2 × 6521

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 111,806,646

Proper Divisor Sum 56,612,902

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #55193741 ← → #55193753

Radix Representation

Decimal	55193744
Binary	11010010100011000010010000 (26 bits)
Octal	0o322430220
Hexadecimal	0x34A3090

Divisor Catalog (30)

Collatz Trajectory (287 steps to reach 1)

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

55,193,744 27,596,872 13,798,436 6,899,218 3,449,609 10,348,828 5,174,414 2,587,207 7,761,622 3,880,811 11,642,434 5,821,217 17,463,652 8,731,826 4,365,913 13,097,740 6,548,870 3,274,435 9,823,306 4,911,653 14,734,960 7,367,480 3,683,740 1,841,870 920,935 2,762,806 1,381,403 4,144,210 2,072,105 6,216,316 3,108,158 1,554,079 4,662,238 2,331,119 6,993,358 3,496,679 10,490,038 5,245,019 15,735,058 7,867,529 23,602,588 11,801,294 5,900,647 17,701,942 8,850,971 26,552,914 13,276,457 39,829,372 19,914,686 9,957,343 29,872,030 14,936,015 44,808,046 22,404,023 67,212,070 33,606,035 100,818,106 50,409,053 151,227,160 75,613,580

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