754,072

2³ × 11² × 19 × 41

754,072 factors as 2^3 × 11^2 × 19 × 41. Its 48 positive divisors give a proper-divisor sum of 921,728, so this integer is abundant. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 19 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,675,800

Proper Divisor Sum 921,728

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #754067 ← → #754073

Radix Representation

Decimal	754072
Binary	10111000000110011000 (20 bits)
Octal	0o2700630
Hexadecimal	0xB8198

Divisor Catalog (48)

1 2 4 8 11 19 22 38 41 44 76 82 88 121 152 164 209 242 328 418 451 484 779 836 902 968 1,558 1,672 1,804 2,299 3,116 3,608 4,598 4,961 6,232 8,569 9,196 9,922 17,138 18,392 19,844 34,276 39,688 68,552 94,259 188,518 377,036 754,072

Collatz Trajectory (286 steps to reach 1)

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

754,072 377,036 188,518 94,259 282,778 141,389 424,168 212,084 106,042 53,021 159,064 79,532 39,766 19,883 59,650 29,825 89,476 44,738 22,369 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226

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