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Atlas › Integer Profiles › Node 54,608,660

54,608,660

22 × 5 × 19 × 131 × 1097
Abundant Even Composite

54,608,660 factors as 2^2 × 5 × 19 × 131 × 1097. Its 48 positive divisors give a proper-divisor sum of 67,137,580, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 131 × 1097
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 121,746,240
Proper Divisor Sum 67,137,580
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #54608629 ← → #54608669

Radix Representation

Decimal 54608660
Binary 11010000010100001100010100 (26 bits)
Octal 0o320241424
Hexadecimal 0x3414314

Divisor Catalog (48)

1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 1,097 1,310 2,194 2,489 2,620 4,388 4,978 5,485 9,956 10,970 12,445 20,843 21,940 24,890 41,686 49,780 83,372 104,215 143,707 208,430 287,414 416,860 574,828 718,535 1,437,070 2,730,433 2,874,140 5,460,866 10,921,732 13,652,165 27,304,330 54,608,660

Collatz Trajectory (119 steps to reach 1)

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

54,608,660 27,304,330 13,652,165 40,956,496 20,478,248 10,239,124 5,119,562 2,559,781 7,679,344 3,839,672 1,919,836 959,918 479,959 1,439,878 719,939 2,159,818 1,079,909 3,239,728 1,619,864 809,932 404,966 202,483 607,450 303,725 911,176 455,588 227,794 113,897 341,692 170,846 85,423 256,270 128,135 384,406 192,203 576,610 288,305 864,916 432,458 216,229 648,688 324,344 162,172 81,086 40,543 121,630 60,815 182,446 91,223 273,670 136,835 410,506 205,253 615,760 307,880 153,940 76,970 38,485 115,456 57,728

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