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Atlas › Integer Profiles › Node 57,713,248

57,713,248

25 × 29 × 62191
Abundant Even Composite

57,713,248 factors as 2^5 × 29 × 62191. Its 24 positive divisors give a proper-divisor sum of 59,829,632, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 62191
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 117,542,880
Proper Divisor Sum 59,829,632
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57713231 ← → #57713263

Radix Representation

Decimal 57713248
Binary 11011100001010001001100000 (26 bits)
Octal 0o334121140
Hexadecimal 0x370A260

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 928 62,191 124,382 248,764 497,528 995,056 1,803,539 1,990,112 3,607,078 7,214,156 14,428,312 28,856,624 57,713,248

Collatz Trajectory (132 steps to reach 1)

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

57,713,248 28,856,624 14,428,312 7,214,156 3,607,078 1,803,539 5,410,618 2,705,309 8,115,928 4,057,964 2,028,982 1,014,491 3,043,474 1,521,737 4,565,212 2,282,606 1,141,303 3,423,910 1,711,955 5,135,866 2,567,933 7,703,800 3,851,900 1,925,950 962,975 2,888,926 1,444,463 4,333,390 2,166,695 6,500,086 3,250,043 9,750,130 4,875,065 14,625,196 7,312,598 3,656,299 10,968,898 5,484,449 16,453,348 8,226,674 4,113,337 12,340,012 6,170,006 3,085,003 9,255,010 4,627,505 13,882,516 6,941,258 3,470,629 10,411,888 5,205,944 2,602,972 1,301,486 650,743 1,952,230 976,115 2,928,346 1,464,173 4,392,520 2,196,260

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