λ
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Atlas › Integer Profiles › Node 47,857,120

47,857,120

25 × 5 × 299107
Abundant Even Composite

47,857,120 factors as 2^5 × 5 × 299107. Its 24 positive divisors give a proper-divisor sum of 65,205,704, so this integer is abundant. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 299107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 113,062,824
Proper Divisor Sum 65,205,704
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #47857111 ← → #47857129

Radix Representation

Decimal 47857120
Binary 10110110100011110111100000 (26 bits)
Octal 0o266436740
Hexadecimal 0x2DA3DE0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 299,107 598,214 1,196,428 1,495,535 2,392,856 2,991,070 4,785,712 5,982,140 9,571,424 11,964,280 23,928,560 47,857,120

Collatz Trajectory (292 steps to reach 1)

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

47,857,120 23,928,560 11,964,280 5,982,140 2,991,070 1,495,535 4,486,606 2,243,303 6,729,910 3,364,955 10,094,866 5,047,433 15,142,300 7,571,150 3,785,575 11,356,726 5,678,363 17,035,090 8,517,545 25,552,636 12,776,318 6,388,159 19,164,478 9,582,239 28,746,718 14,373,359 43,120,078 21,560,039 64,680,118 32,340,059 97,020,178 48,510,089 145,530,268 72,765,134 36,382,567 109,147,702 54,573,851 163,721,554 81,860,777 245,582,332 122,791,166 61,395,583 184,186,750 92,093,375 276,280,126 138,140,063 414,420,190 207,210,095 621,630,286 310,815,143 932,445,430 466,222,715 1,398,668,146 699,334,073 2,098,002,220 1,049,001,110 524,500,555 1,573,501,666 786,750,833 2,360,252,500

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