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Atlas › Integer Profiles › Node 55,433,792

55,433,792

26 × 19 × 45587
Abundant Even Composite

55,433,792 factors as 2^6 × 19 × 45587. Its 28 positive divisors give a proper-divisor sum of 60,359,728, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 45587
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 115,793,520
Proper Divisor Sum 60,359,728
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #55433789 ← → #55433809

Radix Representation

Decimal 55433792
Binary 11010011011101101001000000 (26 bits)
Octal 0o323355100
Hexadecimal 0x34DDA40

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 45,587 91,174 182,348 364,696 729,392 866,153 1,458,784 1,732,306 2,917,568 3,464,612 6,929,224 13,858,448 27,716,896 55,433,792

Collatz Trajectory (75 steps to reach 1)

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

55,433,792 27,716,896 13,858,448 6,929,224 3,464,612 1,732,306 866,153 2,598,460 1,299,230 649,615 1,948,846 974,423 2,923,270 1,461,635 4,384,906 2,192,453 6,577,360 3,288,680 1,644,340 822,170 411,085 1,233,256 616,628 308,314 154,157 462,472 231,236 115,618 57,809 173,428 86,714 43,357 130,072 65,036 32,518 16,259 48,778 24,389 73,168 36,584 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272

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