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Atlas › Integer Profiles › Node 55,438,632

55,438,632

23 × 32 × 17 × 45293
Abundant Even Composite

55,438,632 factors as 2^3 × 3^2 × 17 × 45293. Its 48 positive divisors give a proper-divisor sum of 103,543,308, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 45293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 158,981,940
Proper Divisor Sum 103,543,308
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #55438589 ← → #55438661

Radix Representation

Decimal 55438632
Binary 11010011011110110100101000 (26 bits)
Octal 0o323366450
Hexadecimal 0x34DED28

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 45,293 90,586 135,879 181,172 271,758 362,344 407,637 543,516 769,981 815,274 1,087,032 1,539,962 1,630,548 2,309,943 3,079,924 3,261,096 4,619,886 6,159,848 6,929,829 9,239,772 13,859,658 18,479,544 27,719,316 55,438,632

Collatz Trajectory (106 steps to reach 1)

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

55,438,632 27,719,316 13,859,658 6,929,829 20,789,488 10,394,744 5,197,372 2,598,686 1,299,343 3,898,030 1,949,015 5,847,046 2,923,523 8,770,570 4,385,285 13,155,856 6,577,928 3,288,964 1,644,482 822,241 2,466,724 1,233,362 616,681 1,850,044 925,022 462,511 1,387,534 693,767 2,081,302 1,040,651 3,121,954 1,560,977 4,682,932 2,341,466 1,170,733 3,512,200 1,756,100 878,050 439,025 1,317,076 658,538 329,269 987,808 493,904 246,952 123,476 61,738 30,869 92,608 46,304 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772

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