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Atlas › Integer Profiles › Node 55,144,294

55,144,294

2 × 17 × 23 × 151 × 467
Deficient Even Composite

55,144,294 factors as 2 × 17 × 23 × 151 × 467. Its 32 positive divisors give a proper-divisor sum of 37,047,962, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 151 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,192,256
Proper Divisor Sum 37,047,962
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55144259 ← → #55144307

Radix Representation

Decimal 55144294
Binary 11010010010110111101100110 (26 bits)
Octal 0o322267546
Hexadecimal 0x3496F66

Divisor Catalog (32)

1 2 17 23 34 46 151 302 391 467 782 934 2,567 3,473 5,134 6,946 7,939 10,741 15,878 21,482 59,041 70,517 118,082 141,034 182,597 365,194 1,198,789 1,621,891 2,397,578 3,243,782 27,572,147 55,144,294

Collatz Trajectory (163 steps to reach 1)

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

55,144,294 27,572,147 82,716,442 41,358,221 124,074,664 62,037,332 31,018,666 15,509,333 46,528,000 23,264,000 11,632,000 5,816,000 2,908,000 1,454,000 727,000 363,500 181,750 90,875 272,626 136,313 408,940 204,470 102,235 306,706 153,353 460,060 230,030 115,015 345,046 172,523 517,570 258,785 776,356 388,178 194,089 582,268 291,134 145,567 436,702 218,351 655,054 327,527 982,582 491,291 1,473,874 736,937 2,210,812 1,105,406 552,703 1,658,110 829,055 2,487,166 1,243,583 3,730,750 1,865,375 5,596,126 2,798,063 8,394,190 4,197,095 12,591,286

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