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Atlas › Integer Profiles › Node 57,339,620

57,339,620

22 × 5 × 13 × 220537
Abundant Even Composite

57,339,620 factors as 2^2 × 5 × 13 × 220537. Its 24 positive divisors give a proper-divisor sum of 72,336,724, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 220537
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 129,676,344
Proper Divisor Sum 72,336,724
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #57339613 ← → #57339629

Radix Representation

Decimal 57339620
Binary 11011010101110111011100100 (26 bits)
Octal 0o332567344
Hexadecimal 0x36AEEE4

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 220,537 441,074 882,148 1,102,685 2,205,370 2,866,981 4,410,740 5,733,962 11,467,924 14,334,905 28,669,810 57,339,620

Collatz Trajectory (101 steps to reach 1)

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

57,339,620 28,669,810 14,334,905 43,004,716 21,502,358 10,751,179 32,253,538 16,126,769 48,380,308 24,190,154 12,095,077 36,285,232 18,142,616 9,071,308 4,535,654 2,267,827 6,803,482 3,401,741 10,205,224 5,102,612 2,551,306 1,275,653 3,826,960 1,913,480 956,740 478,370 239,185 717,556 358,778 179,389 538,168 269,084 134,542 67,271 201,814 100,907 302,722 151,361 454,084 227,042 113,521 340,564 170,282 85,141 255,424 127,712 63,856 31,928 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684

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