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Atlas › Integer Profiles › Node 57,718,362

57,718,362

2 × 3 × 13 × 23 × 32173
Abundant Even Composite

57,718,362 factors as 2 × 3 × 13 × 23 × 32173. Its 32 positive divisors give a proper-divisor sum of 72,007,206, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 23 × 32173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 129,725,568
Proper Divisor Sum 72,007,206
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57718361 ← → #57718379

Radix Representation

Decimal 57718362
Binary 11011100001011011001011010 (26 bits)
Octal 0o334133132
Hexadecimal 0x370B65A

Divisor Catalog (32)

1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1,794 32,173 64,346 96,519 193,038 418,249 739,979 836,498 1,254,747 1,479,958 2,219,937 2,509,494 4,439,874 9,619,727 19,239,454 28,859,181 57,718,362

Collatz Trajectory (75 steps to reach 1)

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

57,718,362 28,859,181 86,577,544 43,288,772 21,644,386 10,822,193 32,466,580 16,233,290 8,116,645 24,349,936 12,174,968 6,087,484 3,043,742 1,521,871 4,565,614 2,282,807 6,848,422 3,424,211 10,272,634 5,136,317 15,408,952 7,704,476 3,852,238 1,926,119 5,778,358 2,889,179 8,667,538 4,333,769 13,001,308 6,500,654 3,250,327 9,750,982 4,875,491 14,626,474 7,313,237 21,939,712 10,969,856 5,484,928 2,742,464 1,371,232 685,616 342,808 171,404 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696

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