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Atlas › Integer Profiles › Node 47,560,660

47,560,660

22 × 5 × 7 × 83 × 4093
Abundant Even Composite

47,560,660 factors as 2^2 × 5 × 7 × 83 × 4093. Its 48 positive divisors give a proper-divisor sum of 67,988,396, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 83 × 4093
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,549,056
Proper Divisor Sum 67,988,396
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #47560649 ← → #47560661

Radix Representation

Decimal 47560660
Binary 10110101011011011111010100 (26 bits)
Octal 0o265333724
Hexadecimal 0x2D5B7D4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1,162 1,660 2,324 2,905 4,093 5,810 8,186 11,620 16,372 20,465 28,651 40,930 57,302 81,860 114,604 143,255 286,510 339,719 573,020 679,438 1,358,876 1,698,595 2,378,033 3,397,190 4,756,066 6,794,380 9,512,132 11,890,165 23,780,330 47,560,660

Collatz Trajectory (217 steps to reach 1)

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

47,560,660 23,780,330 11,890,165 35,670,496 17,835,248 8,917,624 4,458,812 2,229,406 1,114,703 3,344,110 1,672,055 5,016,166 2,508,083 7,524,250 3,762,125 11,286,376 5,643,188 2,821,594 1,410,797 4,232,392 2,116,196 1,058,098 529,049 1,587,148 793,574 396,787 1,190,362 595,181 1,785,544 892,772 446,386 223,193 669,580 334,790 167,395 502,186 251,093 753,280 376,640 188,320 94,160 47,080 23,540 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383

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