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Atlas › Integer Profiles › Node 57,779,448

57,779,448

23 × 3 × 229 × 10513
Abundant Even Composite

57,779,448 factors as 2^3 × 3 × 229 × 10513. Its 32 positive divisors give a proper-divisor sum of 87,313,752, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 229 × 10513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 145,093,200
Proper Divisor Sum 87,313,752
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #57779441 ← → #57779453

Radix Representation

Decimal 57779448
Binary 11011100011010010011111000 (26 bits)
Octal 0o334322370
Hexadecimal 0x371A4F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 229 458 687 916 1,374 1,832 2,748 5,496 10,513 21,026 31,539 42,052 63,078 84,104 126,156 252,312 2,407,477 4,814,954 7,222,431 9,629,908 14,444,862 19,259,816 28,889,724 57,779,448

Collatz Trajectory (101 steps to reach 1)

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

57,779,448 28,889,724 14,444,862 7,222,431 21,667,294 10,833,647 32,500,942 16,250,471 48,751,414 24,375,707 73,127,122 36,563,561 109,690,684 54,845,342 27,422,671 82,268,014 41,134,007 123,402,022 61,701,011 185,103,034 92,551,517 277,654,552 138,827,276 69,413,638 34,706,819 104,120,458 52,060,229 156,180,688 78,090,344 39,045,172 19,522,586 9,761,293 29,283,880 14,641,940 7,320,970 3,660,485 10,981,456 5,490,728 2,745,364 1,372,682 686,341 2,059,024 1,029,512 514,756 257,378 128,689 386,068 193,034 96,517 289,552 144,776 72,388 36,194 18,097 54,292 27,146 13,573 40,720 20,360 10,180

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