λ
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Atlas › Integer Profiles › Node 55,384,910

55,384,910

2 × 5 × 7 × 31 × 25523
Abundant Even Composite

55,384,910 factors as 2 × 5 × 7 × 31 × 25523. Its 32 positive divisors give a proper-divisor sum of 62,229,682, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 31 × 25523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,614,592
Proper Divisor Sum 62,229,682
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #55384883 ← → #55384913

Radix Representation

Decimal 55384910
Binary 11010011010001101101001110 (26 bits)
Octal 0o323215516
Hexadecimal 0x34D1B4E

Divisor Catalog (32)

1 2 5 7 10 14 31 35 62 70 155 217 310 434 1,085 2,170 25,523 51,046 127,615 178,661 255,230 357,322 791,213 893,305 1,582,426 1,786,610 3,956,065 5,538,491 7,912,130 11,076,982 27,692,455 55,384,910

Collatz Trajectory (181 steps to reach 1)

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

55,384,910 27,692,455 83,077,366 41,538,683 124,616,050 62,308,025 186,924,076 93,462,038 46,731,019 140,193,058 70,096,529 210,289,588 105,144,794 52,572,397 157,717,192 78,858,596 39,429,298 19,714,649 59,143,948 29,571,974 14,785,987 44,357,962 22,178,981 66,536,944 33,268,472 16,634,236 8,317,118 4,158,559 12,475,678 6,237,839 18,713,518 9,356,759 28,070,278 14,035,139 42,105,418 21,052,709 63,158,128 31,579,064 15,789,532 7,894,766 3,947,383 11,842,150 5,921,075 17,763,226 8,881,613 26,644,840 13,322,420 6,661,210 3,330,605 9,991,816 4,995,908 2,497,954 1,248,977 3,746,932 1,873,466 936,733 2,810,200 1,405,100 702,550 351,275

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